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Finding the Third Proportional to 313,474 and 448,098

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Solution

The third proportional to 313,474 and 448,098 is: 640,537.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,474 : 448,098 = 448,098 : x
  2. Step 2: Convert to fraction form
    313,474/448,098 = 448,098/x
  3. Step 3: Cross multiply
    313,474x = 448,098 × 448,098
  4. Step 4: Simplify right side
    313,474x = 200,791,817,604
  5. Step 5: Solve for x
    x = 200,791,817,604/313,474
  6. Step 6: Final answer
    x = 640,537.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.