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Finding the Third Proportional to 239,865 and 516,645

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Solution

The third proportional to 239,865 and 516,645 is: 1,112,801.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,865 : 516,645 = 516,645 : x
  2. Step 2: Convert to fraction form
    239,865/516,645 = 516,645/x
  3. Step 3: Cross multiply
    239,865x = 516,645 × 516,645
  4. Step 4: Simplify right side
    239,865x = 266,922,056,025
  5. Step 5: Solve for x
    x = 266,922,056,025/239,865
  6. Step 6: Final answer
    x = 1,112,801.18

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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.