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Finding the Third Proportional to 239,862 and 516,006

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Solution

The third proportional to 239,862 and 516,006 is: 1,110,064.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,862 : 516,006 = 516,006 : x
  2. Step 2: Convert to fraction form
    239,862/516,006 = 516,006/x
  3. Step 3: Cross multiply
    239,862x = 516,006 × 516,006
  4. Step 4: Simplify right side
    239,862x = 266,262,192,036
  5. Step 5: Solve for x
    x = 266,262,192,036/239,862
  6. Step 6: Final answer
    x = 1,110,064.09

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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.