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Finding the Third Proportional to 270,207 and 587,979

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Solution

The third proportional to 270,207 and 587,979 is: 1,279,460.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,207 : 587,979 = 587,979 : x
  2. Step 2: Convert to fraction form
    270,207/587,979 = 587,979/x
  3. Step 3: Cross multiply
    270,207x = 587,979 × 587,979
  4. Step 4: Simplify right side
    270,207x = 345,719,304,441
  5. Step 5: Solve for x
    x = 345,719,304,441/270,207
  6. Step 6: Final answer
    x = 1,279,460.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.