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Finding the Third Proportional to 244,597 and 337,977

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Solution

The third proportional to 244,597 and 337,977 is: 467,006.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,597 : 337,977 = 337,977 : x
  2. Step 2: Convert to fraction form
    244,597/337,977 = 337,977/x
  3. Step 3: Cross multiply
    244,597x = 337,977 × 337,977
  4. Step 4: Simplify right side
    244,597x = 114,228,452,529
  5. Step 5: Solve for x
    x = 114,228,452,529/244,597
  6. Step 6: Final answer
    x = 467,006.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.