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Finding the Third Proportional to 244,627 and 344,489

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Solution

The third proportional to 244,627 and 344,489 is: 485,116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,627 : 344,489 = 344,489 : x
  2. Step 2: Convert to fraction form
    244,627/344,489 = 344,489/x
  3. Step 3: Cross multiply
    244,627x = 344,489 × 344,489
  4. Step 4: Simplify right side
    244,627x = 118,672,671,121
  5. Step 5: Solve for x
    x = 118,672,671,121/244,627
  6. Step 6: Final answer
    x = 485,116.82

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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.