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Finding the Third Proportional to 486,342 and 727,569

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Solution

The third proportional to 486,342 and 727,569 is: 1,088,445.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,342 : 727,569 = 727,569 : x
  2. Step 2: Convert to fraction form
    486,342/727,569 = 727,569/x
  3. Step 3: Cross multiply
    486,342x = 727,569 × 727,569
  4. Step 4: Simplify right side
    486,342x = 529,356,649,761
  5. Step 5: Solve for x
    x = 529,356,649,761/486,342
  6. Step 6: Final answer
    x = 1,088,445.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.