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Finding the Third Proportional to 270,882 and 420,017

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Solution

The third proportional to 270,882 and 420,017 is: 651,258.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,882 : 420,017 = 420,017 : x
  2. Step 2: Convert to fraction form
    270,882/420,017 = 420,017/x
  3. Step 3: Cross multiply
    270,882x = 420,017 × 420,017
  4. Step 4: Simplify right side
    270,882x = 176,414,280,289
  5. Step 5: Solve for x
    x = 176,414,280,289/270,882
  6. Step 6: Final answer
    x = 651,258.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.