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Finding the Third Proportional to 270,162 and 625,428

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Solution

The third proportional to 270,162 and 625,428 is: 1,447,872.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,162 : 625,428 = 625,428 : x
  2. Step 2: Convert to fraction form
    270,162/625,428 = 625,428/x
  3. Step 3: Cross multiply
    270,162x = 625,428 × 625,428
  4. Step 4: Simplify right side
    270,162x = 391,160,183,184
  5. Step 5: Solve for x
    x = 391,160,183,184/270,162
  6. Step 6: Final answer
    x = 1,447,872.70

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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.