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Finding the Third Proportional to 502,104 and 764,920

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Solution

The third proportional to 502,104 and 764,920 is: 1,165,301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,104 : 764,920 = 764,920 : x
  2. Step 2: Convert to fraction form
    502,104/764,920 = 764,920/x
  3. Step 3: Cross multiply
    502,104x = 764,920 × 764,920
  4. Step 4: Simplify right side
    502,104x = 585,102,606,400
  5. Step 5: Solve for x
    x = 585,102,606,400/502,104
  6. Step 6: Final answer
    x = 1,165,301.62

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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.