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Finding the Third Proportional to 244,627 and 344,491

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Solution

The third proportional to 244,627 and 344,491 is: 485,122.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,627 : 344,491 = 344,491 : x
  2. Step 2: Convert to fraction form
    244,627/344,491 = 344,491/x
  3. Step 3: Cross multiply
    244,627x = 344,491 × 344,491
  4. Step 4: Simplify right side
    244,627x = 118,674,049,081
  5. Step 5: Solve for x
    x = 118,674,049,081/244,627
  6. Step 6: Final answer
    x = 485,122.45

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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.