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Finding the Third Proportional to 239,904 and 516,132

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Solution

The third proportional to 239,904 and 516,132 is: 1,110,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,904 : 516,132 = 516,132 : x
  2. Step 2: Convert to fraction form
    239,904/516,132 = 516,132/x
  3. Step 3: Cross multiply
    239,904x = 516,132 × 516,132
  4. Step 4: Simplify right side
    239,904x = 266,392,241,424
  5. Step 5: Solve for x
    x = 266,392,241,424/239,904
  6. Step 6: Final answer
    x = 1,110,411.84

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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.