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Finding the Third Proportional to 270,112 and 625,330

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Solution

The third proportional to 270,112 and 625,330 is: 1,447,686.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,112 : 625,330 = 625,330 : x
  2. Step 2: Convert to fraction form
    270,112/625,330 = 625,330/x
  3. Step 3: Cross multiply
    270,112x = 625,330 × 625,330
  4. Step 4: Simplify right side
    270,112x = 391,037,608,900
  5. Step 5: Solve for x
    x = 391,037,608,900/270,112
  6. Step 6: Final answer
    x = 1,447,686.92

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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.