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Finding the Third Proportional to 266,180 and 571,304

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Solution

The third proportional to 266,180 and 571,304 is: 1,226,193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,180 : 571,304 = 571,304 : x
  2. Step 2: Convert to fraction form
    266,180/571,304 = 571,304/x
  3. Step 3: Cross multiply
    266,180x = 571,304 × 571,304
  4. Step 4: Simplify right side
    266,180x = 326,388,260,416
  5. Step 5: Solve for x
    x = 326,388,260,416/266,180
  6. Step 6: Final answer
    x = 1,226,193.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.