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Finding the Third Proportional to 348.38 and 741.56

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Solution

The third proportional to 348.38 and 741.56 is: 1,578.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.38 : 741.56 = 741.56 : x
  2. Step 2: Convert to fraction form
    348.38/741.56 = 741.56/x
  3. Step 3: Cross multiply
    348.38x = 741.56 × 741.56
  4. Step 4: Simplify right side
    348.38x = 549,914.94
  5. Step 5: Solve for x
    x = 549,914.94/348.38
  6. Step 6: Final answer
    x = 1,578.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.