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Finding the Third Proportional to 266,919 and 587,314

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Solution

The third proportional to 266,919 and 587,314 is: 1,292,293.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,919 : 587,314 = 587,314 : x
  2. Step 2: Convert to fraction form
    266,919/587,314 = 587,314/x
  3. Step 3: Cross multiply
    266,919x = 587,314 × 587,314
  4. Step 4: Simplify right side
    266,919x = 344,937,734,596
  5. Step 5: Solve for x
    x = 344,937,734,596/266,919
  6. Step 6: Final answer
    x = 1,292,293.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.