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Finding the Third Proportional to 498,462.75 and 747,510.75

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Solution

The third proportional to 498,462.75 and 747,510.75 is: 1,120,991.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,462.75 : 747,510.75 = 747,510.75 : x
  2. Step 2: Convert to fraction form
    498,462.75/747,510.75 = 747,510.75/x
  3. Step 3: Cross multiply
    498,462.75x = 747,510.75 × 747,510.75
  4. Step 4: Simplify right side
    498,462.75x = 558,772,321,365.56
  5. Step 5: Solve for x
    x = 558,772,321,365.56/498,462.75
  6. Step 6: Final answer
    x = 1,120,991.13

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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.