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Finding the Third Proportional to 485,632 and 731,688

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Solution

The third proportional to 485,632 and 731,688 is: 1,102,413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,632 : 731,688 = 731,688 : x
  2. Step 2: Convert to fraction form
    485,632/731,688 = 731,688/x
  3. Step 3: Cross multiply
    485,632x = 731,688 × 731,688
  4. Step 4: Simplify right side
    485,632x = 535,367,329,344
  5. Step 5: Solve for x
    x = 535,367,329,344/485,632
  6. Step 6: Final answer
    x = 1,102,413.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.