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Finding the Third Proportional to 502,017.75 and 764,793.56

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Solution

The third proportional to 502,017.75 and 764,793.56 is: 1,165,116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,017.75 : 764,793.56 = 764,793.56 : x
  2. Step 2: Convert to fraction form
    502,017.75/764,793.56 = 764,793.56/x
  3. Step 3: Cross multiply
    502,017.75x = 764,793.56 × 764,793.56
  4. Step 4: Simplify right side
    502,017.75x = 584,909,193,241.44
  5. Step 5: Solve for x
    x = 584,909,193,241.44/502,017.75
  6. Step 6: Final answer
    x = 1,165,116.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.