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Finding the Third Proportional to 502,024 and 764,802

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Solution

The third proportional to 502,024 and 764,802 is: 1,165,127.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,024 : 764,802 = 764,802 : x
  2. Step 2: Convert to fraction form
    502,024/764,802 = 764,802/x
  3. Step 3: Cross multiply
    502,024x = 764,802 × 764,802
  4. Step 4: Simplify right side
    502,024x = 584,922,099,204
  5. Step 5: Solve for x
    x = 584,922,099,204/502,024
  6. Step 6: Final answer
    x = 1,165,127.76

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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.