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Finding the Third Proportional to 268,281 and 568,545

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Solution

The third proportional to 268,281 and 568,545 is: 1,204,868.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,281 : 568,545 = 568,545 : x
  2. Step 2: Convert to fraction form
    268,281/568,545 = 568,545/x
  3. Step 3: Cross multiply
    268,281x = 568,545 × 568,545
  4. Step 4: Simplify right side
    268,281x = 323,243,417,025
  5. Step 5: Solve for x
    x = 323,243,417,025/268,281
  6. Step 6: Final answer
    x = 1,204,868.84

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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.