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Finding the Third Proportional to 270,257.50 and 625,575.50

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Solution

The third proportional to 270,257.50 and 625,575.50 is: 1,448,043.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,257.50 : 625,575.50 = 625,575.50 : x
  2. Step 2: Convert to fraction form
    270,257.50/625,575.50 = 625,575.50/x
  3. Step 3: Cross multiply
    270,257.50x = 625,575.50 × 625,575.50
  4. Step 4: Simplify right side
    270,257.50x = 391,344,706,200.25
  5. Step 5: Solve for x
    x = 391,344,706,200.25/270,257.50
  6. Step 6: Final answer
    x = 1,448,043.83

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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.