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Finding the Third Proportional to 498,124.69 and 747,285.75

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Solution

The third proportional to 498,124.69 and 747,285.75 is: 1,121,076.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,124.69 : 747,285.75 = 747,285.75 : x
  2. Step 2: Convert to fraction form
    498,124.69/747,285.75 = 747,285.75/x
  3. Step 3: Cross multiply
    498,124.69x = 747,285.75 × 747,285.75
  4. Step 4: Simplify right side
    498,124.69x = 558,435,992,153.06
  5. Step 5: Solve for x
    x = 558,435,992,153.06/498,124.69
  6. Step 6: Final answer
    x = 1,121,076.72

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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.