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Finding the Third Proportional to 392,416 and 621,792

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Solution

The third proportional to 392,416 and 621,792 is: 985,243.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,416 : 621,792 = 621,792 : x
  2. Step 2: Convert to fraction form
    392,416/621,792 = 621,792/x
  3. Step 3: Cross multiply
    392,416x = 621,792 × 621,792
  4. Step 4: Simplify right side
    392,416x = 386,625,291,264
  5. Step 5: Solve for x
    x = 386,625,291,264/392,416
  6. Step 6: Final answer
    x = 985,243.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.