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Finding the Third Proportional to 291,142 and 636,594

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Solution

The third proportional to 291,142 and 636,594 is: 1,391,939.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,142 : 636,594 = 636,594 : x
  2. Step 2: Convert to fraction form
    291,142/636,594 = 636,594/x
  3. Step 3: Cross multiply
    291,142x = 636,594 × 636,594
  4. Step 4: Simplify right side
    291,142x = 405,251,920,836
  5. Step 5: Solve for x
    x = 405,251,920,836/291,142
  6. Step 6: Final answer
    x = 1,391,939.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.