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Finding the Third Proportional to 337,604 and 739,624

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Solution

The third proportional to 337,604 and 739,624 is: 1,620,370.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,604 : 739,624 = 739,624 : x
  2. Step 2: Convert to fraction form
    337,604/739,624 = 739,624/x
  3. Step 3: Cross multiply
    337,604x = 739,624 × 739,624
  4. Step 4: Simplify right side
    337,604x = 547,043,661,376
  5. Step 5: Solve for x
    x = 547,043,661,376/337,604
  6. Step 6: Final answer
    x = 1,620,370.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.