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Finding the Third Proportional to 498,231 and 730,737

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Solution

The third proportional to 498,231 and 730,737 is: 1,071,744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,231 : 730,737 = 730,737 : x
  2. Step 2: Convert to fraction form
    498,231/730,737 = 730,737/x
  3. Step 3: Cross multiply
    498,231x = 730,737 × 730,737
  4. Step 4: Simplify right side
    498,231x = 533,976,563,169
  5. Step 5: Solve for x
    x = 533,976,563,169/498,231
  6. Step 6: Final answer
    x = 1,071,744.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.