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Finding the Third Proportional to 260,920 and 566,452

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Solution

The third proportional to 260,920 and 566,452 is: 1,229,755.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,920 : 566,452 = 566,452 : x
  2. Step 2: Convert to fraction form
    260,920/566,452 = 566,452/x
  3. Step 3: Cross multiply
    260,920x = 566,452 × 566,452
  4. Step 4: Simplify right side
    260,920x = 320,867,868,304
  5. Step 5: Solve for x
    x = 320,867,868,304/260,920
  6. Step 6: Final answer
    x = 1,229,755.74

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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.