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Finding the Third Proportional to 244,341 and 344,079

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Solution

The third proportional to 244,341 and 344,079 is: 484,529.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,341 : 344,079 = 344,079 : x
  2. Step 2: Convert to fraction form
    244,341/344,079 = 344,079/x
  3. Step 3: Cross multiply
    244,341x = 344,079 × 344,079
  4. Step 4: Simplify right side
    244,341x = 118,390,358,241
  5. Step 5: Solve for x
    x = 118,390,358,241/244,341
  6. Step 6: Final answer
    x = 484,529.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.