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Finding the Third Proportional to 270,154 and 587,876

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Solution

The third proportional to 270,154 and 587,876 is: 1,279,263.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,154 : 587,876 = 587,876 : x
  2. Step 2: Convert to fraction form
    270,154/587,876 = 587,876/x
  3. Step 3: Cross multiply
    270,154x = 587,876 × 587,876
  4. Step 4: Simplify right side
    270,154x = 345,598,191,376
  5. Step 5: Solve for x
    x = 345,598,191,376/270,154
  6. Step 6: Final answer
    x = 1,279,263.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.