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Finding the Third Proportional to 270,674 and 587,452

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Solution

The third proportional to 270,674 and 587,452 is: 1,274,964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,674 : 587,452 = 587,452 : x
  2. Step 2: Convert to fraction form
    270,674/587,452 = 587,452/x
  3. Step 3: Cross multiply
    270,674x = 587,452 × 587,452
  4. Step 4: Simplify right side
    270,674x = 345,099,852,304
  5. Step 5: Solve for x
    x = 345,099,852,304/270,674
  6. Step 6: Final answer
    x = 1,274,964.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.