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Finding the Third Proportional to 413,926,746.75 and 636,234,841.13

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Solution

The third proportional to 413,926,746.75 and 636,234,841.13 is: 977,938,188.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,926,746.75 : 636,234,841.13 = 636,234,841.13 : x
  2. Step 2: Convert to fraction form
    413,926,746.75/636,234,841.13 = 636,234,841.13/x
  3. Step 3: Cross multiply
    413,926,746.75x = 636,234,841.13 × 636,234,841.13
  4. Step 4: Simplify right side
    413,926,746.75x = 404,794,773,061,353,984
  5. Step 5: Solve for x
    x = 404,794,773,061,353,984/413,926,746.75
  6. Step 6: Final answer
    x = 977,938,188.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.