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Finding the Third Proportional to 468,342 and 726,538

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Solution

The third proportional to 468,342 and 726,538 is: 1,127,076.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,342 : 726,538 = 726,538 : x
  2. Step 2: Convert to fraction form
    468,342/726,538 = 726,538/x
  3. Step 3: Cross multiply
    468,342x = 726,538 × 726,538
  4. Step 4: Simplify right side
    468,342x = 527,857,465,444
  5. Step 5: Solve for x
    x = 527,857,465,444/468,342
  6. Step 6: Final answer
    x = 1,127,076.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.