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Finding the Third Proportional to 361,776 and 771,584

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Solution

The third proportional to 361,776 and 771,584 is: 1,645,609.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,776 : 771,584 = 771,584 : x
  2. Step 2: Convert to fraction form
    361,776/771,584 = 771,584/x
  3. Step 3: Cross multiply
    361,776x = 771,584 × 771,584
  4. Step 4: Simplify right side
    361,776x = 595,341,869,056
  5. Step 5: Solve for x
    x = 595,341,869,056/361,776
  6. Step 6: Final answer
    x = 1,645,609.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.