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Finding the Third Proportional to 260,918 and 566,448

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Solution

The third proportional to 260,918 and 566,448 is: 1,229,747.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,918 : 566,448 = 566,448 : x
  2. Step 2: Convert to fraction form
    260,918/566,448 = 566,448/x
  3. Step 3: Cross multiply
    260,918x = 566,448 × 566,448
  4. Step 4: Simplify right side
    260,918x = 320,863,336,704
  5. Step 5: Solve for x
    x = 320,863,336,704/260,918
  6. Step 6: Final answer
    x = 1,229,747.80

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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.