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Finding the Third Proportional to 334,002 and 516,561

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Solution

The third proportional to 334,002 and 516,561 is: 798,903.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,002 : 516,561 = 516,561 : x
  2. Step 2: Convert to fraction form
    334,002/516,561 = 516,561/x
  3. Step 3: Cross multiply
    334,002x = 516,561 × 516,561
  4. Step 4: Simplify right side
    334,002x = 266,835,266,721
  5. Step 5: Solve for x
    x = 266,835,266,721/334,002
  6. Step 6: Final answer
    x = 798,903.20

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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.