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Finding the Third Proportional to 502,036 and 754,149.50

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Solution

The third proportional to 502,036 and 754,149.50 is: 1,132,869.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,036 : 754,149.50 = 754,149.50 : x
  2. Step 2: Convert to fraction form
    502,036/754,149.50 = 754,149.50/x
  3. Step 3: Cross multiply
    502,036x = 754,149.50 × 754,149.50
  4. Step 4: Simplify right side
    502,036x = 568,741,468,350.25
  5. Step 5: Solve for x
    x = 568,741,468,350.25/502,036
  6. Step 6: Final answer
    x = 1,132,869.89

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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.