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Finding the Third Proportional to 270,231.19 and 625,519.97

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Solution

The third proportional to 270,231.19 and 625,519.97 is: 1,447,927.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,231.19 : 625,519.97 = 625,519.97 : x
  2. Step 2: Convert to fraction form
    270,231.19/625,519.97 = 625,519.97/x
  3. Step 3: Cross multiply
    270,231.19x = 625,519.97 × 625,519.97
  4. Step 4: Simplify right side
    270,231.19x = 391,275,231,305.00
  5. Step 5: Solve for x
    x = 391,275,231,305.00/270,231.19
  6. Step 6: Final answer
    x = 1,447,927.74

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.