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Finding the Third Proportional to 260,332 and 568,400

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Solution

The third proportional to 260,332 and 568,400 is: 1,241,025.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,332 : 568,400 = 568,400 : x
  2. Step 2: Convert to fraction form
    260,332/568,400 = 568,400/x
  3. Step 3: Cross multiply
    260,332x = 568,400 × 568,400
  4. Step 4: Simplify right side
    260,332x = 323,078,560,000
  5. Step 5: Solve for x
    x = 323,078,560,000/260,332
  6. Step 6: Final answer
    x = 1,241,025.15

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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.