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Finding the Third Proportional to 352,776 and 775,792

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Solution

The third proportional to 352,776 and 775,792 is: 1,706,049.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,776 : 775,792 = 775,792 : x
  2. Step 2: Convert to fraction form
    352,776/775,792 = 775,792/x
  3. Step 3: Cross multiply
    352,776x = 775,792 × 775,792
  4. Step 4: Simplify right side
    352,776x = 601,853,227,264
  5. Step 5: Solve for x
    x = 601,853,227,264/352,776
  6. Step 6: Final answer
    x = 1,706,049.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.