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Finding the Third Proportional to 348.84 and 748.93

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Solution

The third proportional to 348.84 and 748.93 is: 1,607.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.84 : 748.93 = 748.93 : x
  2. Step 2: Convert to fraction form
    348.84/748.93 = 748.93/x
  3. Step 3: Cross multiply
    348.84x = 748.93 × 748.93
  4. Step 4: Simplify right side
    348.84x = 560,901.53
  5. Step 5: Solve for x
    x = 560,901.53/348.84
  6. Step 6: Final answer
    x = 1,607.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.