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Finding the Third Proportional to 270,098 and 625,286

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Solution

The third proportional to 270,098 and 625,286 is: 1,447,558.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,098 : 625,286 = 625,286 : x
  2. Step 2: Convert to fraction form
    270,098/625,286 = 625,286/x
  3. Step 3: Cross multiply
    270,098x = 625,286 × 625,286
  4. Step 4: Simplify right side
    270,098x = 390,982,581,796
  5. Step 5: Solve for x
    x = 390,982,581,796/270,098
  6. Step 6: Final answer
    x = 1,447,558.23

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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.