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Finding the Third Proportional to 344,384 and 516,920

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Solution

The third proportional to 344,384 and 516,920 is: 775,896.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,384 : 516,920 = 516,920 : x
  2. Step 2: Convert to fraction form
    344,384/516,920 = 516,920/x
  3. Step 3: Cross multiply
    344,384x = 516,920 × 516,920
  4. Step 4: Simplify right side
    344,384x = 267,206,286,400
  5. Step 5: Solve for x
    x = 267,206,286,400/344,384
  6. Step 6: Final answer
    x = 775,896.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.