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Finding the Third Proportional to 502,027.88 and 764,817.19

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Solution

The third proportional to 502,027.88 and 764,817.19 is: 1,165,165.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,027.88 : 764,817.19 = 764,817.19 : x
  2. Step 2: Convert to fraction form
    502,027.88/764,817.19 = 764,817.19/x
  3. Step 3: Cross multiply
    502,027.88x = 764,817.19 × 764,817.19
  4. Step 4: Simplify right side
    502,027.88x = 584,945,330,295.41
  5. Step 5: Solve for x
    x = 584,945,330,295.41/502,027.88
  6. Step 6: Final answer
    x = 1,165,165.04

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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.