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Finding the Third Proportional to 237,022 and 516,649

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Solution

The third proportional to 237,022 and 516,649 is: 1,126,166.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,022 : 516,649 = 516,649 : x
  2. Step 2: Convert to fraction form
    237,022/516,649 = 516,649/x
  3. Step 3: Cross multiply
    237,022x = 516,649 × 516,649
  4. Step 4: Simplify right side
    237,022x = 266,926,189,201
  5. Step 5: Solve for x
    x = 266,926,189,201/237,022
  6. Step 6: Final answer
    x = 1,126,166.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.