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Finding the Third Proportional to 501,138 and 724,059

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Solution

The third proportional to 501,138 and 724,059 is: 1,046,141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,138 : 724,059 = 724,059 : x
  2. Step 2: Convert to fraction form
    501,138/724,059 = 724,059/x
  3. Step 3: Cross multiply
    501,138x = 724,059 × 724,059
  4. Step 4: Simplify right side
    501,138x = 524,261,435,481
  5. Step 5: Solve for x
    x = 524,261,435,481/501,138
  6. Step 6: Final answer
    x = 1,046,141.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.