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Finding the Third Proportional to 244,626 and 344,488

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Solution

The third proportional to 244,626 and 344,488 is: 485,115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,626 : 344,488 = 344,488 : x
  2. Step 2: Convert to fraction form
    244,626/344,488 = 344,488/x
  3. Step 3: Cross multiply
    244,626x = 344,488 × 344,488
  4. Step 4: Simplify right side
    244,626x = 118,671,982,144
  5. Step 5: Solve for x
    x = 118,671,982,144/244,626
  6. Step 6: Final answer
    x = 485,115.98

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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.