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Finding the Third Proportional to 270,232.50 and 625,523.25

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Solution

The third proportional to 270,232.50 and 625,523.25 is: 1,447,935.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,232.50 : 625,523.25 = 625,523.25 : x
  2. Step 2: Convert to fraction form
    270,232.50/625,523.25 = 625,523.25/x
  3. Step 3: Cross multiply
    270,232.50x = 625,523.25 × 625,523.25
  4. Step 4: Simplify right side
    270,232.50x = 391,279,336,290.56
  5. Step 5: Solve for x
    x = 391,279,336,290.56/270,232.50
  6. Step 6: Final answer
    x = 1,447,935.89

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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.