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Finding the Third Proportional to 339,551 and 516,704

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Solution

The third proportional to 339,551 and 516,704 is: 786,282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,551 : 516,704 = 516,704 : x
  2. Step 2: Convert to fraction form
    339,551/516,704 = 516,704/x
  3. Step 3: Cross multiply
    339,551x = 516,704 × 516,704
  4. Step 4: Simplify right side
    339,551x = 266,983,023,616
  5. Step 5: Solve for x
    x = 266,983,023,616/339,551
  6. Step 6: Final answer
    x = 786,282.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.