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Finding the Third Proportional to 502,086 and 764,894

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Solution

The third proportional to 502,086 and 764,894 is: 1,165,264.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,086 : 764,894 = 764,894 : x
  2. Step 2: Convert to fraction form
    502,086/764,894 = 764,894/x
  3. Step 3: Cross multiply
    502,086x = 764,894 × 764,894
  4. Step 4: Simplify right side
    502,086x = 585,062,831,236
  5. Step 5: Solve for x
    x = 585,062,831,236/502,086
  6. Step 6: Final answer
    x = 1,165,264.18

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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.