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Finding the Third Proportional to 341.25 and 737.25

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Solution

The third proportional to 341.25 and 737.25 is: 1,592.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.25 : 737.25 = 737.25 : x
  2. Step 2: Convert to fraction form
    341.25/737.25 = 737.25/x
  3. Step 3: Cross multiply
    341.25x = 737.25 × 737.25
  4. Step 4: Simplify right side
    341.25x = 543,537.56
  5. Step 5: Solve for x
    x = 543,537.56/341.25
  6. Step 6: Final answer
    x = 1,592.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.