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Finding the Third Proportional to 498,627 and 726,108

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Solution

The third proportional to 498,627 and 726,108 is: 1,057,369.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,627 : 726,108 = 726,108 : x
  2. Step 2: Convert to fraction form
    498,627/726,108 = 726,108/x
  3. Step 3: Cross multiply
    498,627x = 726,108 × 726,108
  4. Step 4: Simplify right side
    498,627x = 527,232,827,664
  5. Step 5: Solve for x
    x = 527,232,827,664/498,627
  6. Step 6: Final answer
    x = 1,057,369.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.