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Finding the Third Proportional to 270,166 and 625,438

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Solution

The third proportional to 270,166 and 625,438 is: 1,447,897.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,166 : 625,438 = 625,438 : x
  2. Step 2: Convert to fraction form
    270,166/625,438 = 625,438/x
  3. Step 3: Cross multiply
    270,166x = 625,438 × 625,438
  4. Step 4: Simplify right side
    270,166x = 391,172,691,844
  5. Step 5: Solve for x
    x = 391,172,691,844/270,166
  6. Step 6: Final answer
    x = 1,447,897.56

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.