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Finding the Third Proportional to 499,552.50 and 749,344.75

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Solution

The third proportional to 499,552.50 and 749,344.75 is: 1,124,041.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,552.50 : 749,344.75 = 749,344.75 : x
  2. Step 2: Convert to fraction form
    499,552.50/749,344.75 = 749,344.75/x
  3. Step 3: Cross multiply
    499,552.50x = 749,344.75 × 749,344.75
  4. Step 4: Simplify right side
    499,552.50x = 561,517,554,352.56
  5. Step 5: Solve for x
    x = 561,517,554,352.56/499,552.50
  6. Step 6: Final answer
    x = 1,124,041.13

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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.