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Finding the Third Proportional to 502,019 and 764,793.75

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Solution

The third proportional to 502,019 and 764,793.75 is: 1,165,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,019 : 764,793.75 = 764,793.75 : x
  2. Step 2: Convert to fraction form
    502,019/764,793.75 = 764,793.75/x
  3. Step 3: Cross multiply
    502,019x = 764,793.75 × 764,793.75
  4. Step 4: Simplify right side
    502,019x = 584,909,480,039.06
  5. Step 5: Solve for x
    x = 584,909,480,039.06/502,019
  6. Step 6: Final answer
    x = 1,165,114.23

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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.