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Finding the Third Proportional to 270,160 and 625,372

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Solution

The third proportional to 270,160 and 625,372 is: 1,447,624.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,160 : 625,372 = 625,372 : x
  2. Step 2: Convert to fraction form
    270,160/625,372 = 625,372/x
  3. Step 3: Cross multiply
    270,160x = 625,372 × 625,372
  4. Step 4: Simplify right side
    270,160x = 391,090,138,384
  5. Step 5: Solve for x
    x = 391,090,138,384/270,160
  6. Step 6: Final answer
    x = 1,447,624.14

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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.