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Finding the Third Proportional to 239,863 and 516,643

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Solution

The third proportional to 239,863 and 516,643 is: 1,112,801.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,863 : 516,643 = 516,643 : x
  2. Step 2: Convert to fraction form
    239,863/516,643 = 516,643/x
  3. Step 3: Cross multiply
    239,863x = 516,643 × 516,643
  4. Step 4: Simplify right side
    239,863x = 266,919,989,449
  5. Step 5: Solve for x
    x = 266,919,989,449/239,863
  6. Step 6: Final answer
    x = 1,112,801.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.