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Finding the Third Proportional to 266,055 and 576,337

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Solution

The third proportional to 266,055 and 576,337 is: 1,248,479.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,055 : 576,337 = 576,337 : x
  2. Step 2: Convert to fraction form
    266,055/576,337 = 576,337/x
  3. Step 3: Cross multiply
    266,055x = 576,337 × 576,337
  4. Step 4: Simplify right side
    266,055x = 332,164,337,569
  5. Step 5: Solve for x
    x = 332,164,337,569/266,055
  6. Step 6: Final answer
    x = 1,248,479.97

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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.