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Finding the Third Proportional to 333,769 and 516,493

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Solution

The third proportional to 333,769 and 516,493 is: 799,250.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,769 : 516,493 = 516,493 : x
  2. Step 2: Convert to fraction form
    333,769/516,493 = 516,493/x
  3. Step 3: Cross multiply
    333,769x = 516,493 × 516,493
  4. Step 4: Simplify right side
    333,769x = 266,765,019,049
  5. Step 5: Solve for x
    x = 266,765,019,049/333,769
  6. Step 6: Final answer
    x = 799,250.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.