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Finding the Third Proportional to 268,280 and 568,541

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Solution

The third proportional to 268,280 and 568,541 is: 1,204,856.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,280 : 568,541 = 568,541 : x
  2. Step 2: Convert to fraction form
    268,280/568,541 = 568,541/x
  3. Step 3: Cross multiply
    268,280x = 568,541 × 568,541
  4. Step 4: Simplify right side
    268,280x = 323,238,868,681
  5. Step 5: Solve for x
    x = 323,238,868,681/268,280
  6. Step 6: Final answer
    x = 1,204,856.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.