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Finding the Third Proportional to 342,704 and 737,920

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Solution

The third proportional to 342,704 and 737,920 is: 1,588,910.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,704 : 737,920 = 737,920 : x
  2. Step 2: Convert to fraction form
    342,704/737,920 = 737,920/x
  3. Step 3: Cross multiply
    342,704x = 737,920 × 737,920
  4. Step 4: Simplify right side
    342,704x = 544,525,926,400
  5. Step 5: Solve for x
    x = 544,525,926,400/342,704
  6. Step 6: Final answer
    x = 1,588,910.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.