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Finding the Third Proportional to 712.41 and 1,546.31

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Solution

The third proportional to 712.41 and 1,546.31 is: 3,356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.41 : 1,546.31 = 1,546.31 : x
  2. Step 2: Convert to fraction form
    712.41/1,546.31 = 1,546.31/x
  3. Step 3: Cross multiply
    712.41x = 1,546.31 × 1,546.31
  4. Step 4: Simplify right side
    712.41x = 2,391,082.35
  5. Step 5: Solve for x
    x = 2,391,082.35/712.41
  6. Step 6: Final answer
    x = 3,356.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.