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Finding the Third Proportional to 486,374 and 727,609

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Solution

The third proportional to 486,374 and 727,609 is: 1,088,493.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,374 : 727,609 = 727,609 : x
  2. Step 2: Convert to fraction form
    486,374/727,609 = 727,609/x
  3. Step 3: Cross multiply
    486,374x = 727,609 × 727,609
  4. Step 4: Simplify right side
    486,374x = 529,414,856,881
  5. Step 5: Solve for x
    x = 529,414,856,881/486,374
  6. Step 6: Final answer
    x = 1,088,493.33

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Why These Related Problems?

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