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Finding the Third Proportional to 312,708 and 737,424

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Solution

The third proportional to 312,708 and 737,424 is: 1,738,983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,708 : 737,424 = 737,424 : x
  2. Step 2: Convert to fraction form
    312,708/737,424 = 737,424/x
  3. Step 3: Cross multiply
    312,708x = 737,424 × 737,424
  4. Step 4: Simplify right side
    312,708x = 543,794,155,776
  5. Step 5: Solve for x
    x = 543,794,155,776/312,708
  6. Step 6: Final answer
    x = 1,738,983.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.