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Finding the Third Proportional to 240,812 and 527,298

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Solution

The third proportional to 240,812 and 527,298 is: 1,154,606.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,812 : 527,298 = 527,298 : x
  2. Step 2: Convert to fraction form
    240,812/527,298 = 527,298/x
  3. Step 3: Cross multiply
    240,812x = 527,298 × 527,298
  4. Step 4: Simplify right side
    240,812x = 278,043,180,804
  5. Step 5: Solve for x
    x = 278,043,180,804/240,812
  6. Step 6: Final answer
    x = 1,154,606.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.