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Finding the Third Proportional to 502,027.50 and 764,812.25

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Solution

The third proportional to 502,027.50 and 764,812.25 is: 1,165,150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,027.50 : 764,812.25 = 764,812.25 : x
  2. Step 2: Convert to fraction form
    502,027.50/764,812.25 = 764,812.25/x
  3. Step 3: Cross multiply
    502,027.50x = 764,812.25 × 764,812.25
  4. Step 4: Simplify right side
    502,027.50x = 584,937,777,750.06
  5. Step 5: Solve for x
    x = 584,937,777,750.06/502,027.50
  6. Step 6: Final answer
    x = 1,165,150.87

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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.