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Finding the Third Proportional to 270,234.56 and 625,528.41

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Solution

The third proportional to 270,234.56 and 625,528.41 is: 1,447,948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,234.56 : 625,528.41 = 625,528.41 : x
  2. Step 2: Convert to fraction form
    270,234.56/625,528.41 = 625,528.41/x
  3. Step 3: Cross multiply
    270,234.56x = 625,528.41 × 625,528.41
  4. Step 4: Simplify right side
    270,234.56x = 391,285,787,025.67
  5. Step 5: Solve for x
    x = 391,285,787,025.67/270,234.56
  6. Step 6: Final answer
    x = 1,447,948.71

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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.