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Finding the Third Proportional to 266,204 and 576,670

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Solution

The third proportional to 266,204 and 576,670 is: 1,249,223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,204 : 576,670 = 576,670 : x
  2. Step 2: Convert to fraction form
    266,204/576,670 = 576,670/x
  3. Step 3: Cross multiply
    266,204x = 576,670 × 576,670
  4. Step 4: Simplify right side
    266,204x = 332,548,288,900
  5. Step 5: Solve for x
    x = 332,548,288,900/266,204
  6. Step 6: Final answer
    x = 1,249,223.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.