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Finding the Third Proportional to 260,331 and 568,398

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Solution

The third proportional to 260,331 and 568,398 is: 1,241,021.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,331 : 568,398 = 568,398 : x
  2. Step 2: Convert to fraction form
    260,331/568,398 = 568,398/x
  3. Step 3: Cross multiply
    260,331x = 568,398 × 568,398
  4. Step 4: Simplify right side
    260,331x = 323,076,286,404
  5. Step 5: Solve for x
    x = 323,076,286,404/260,331
  6. Step 6: Final answer
    x = 1,241,021.19

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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.