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Finding the Third Proportional to 712.13 and 1,093.92

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Solution

The third proportional to 712.13 and 1,093.92 is: 1,680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.13 : 1,093.92 = 1,093.92 : x
  2. Step 2: Convert to fraction form
    712.13/1,093.92 = 1,093.92/x
  3. Step 3: Cross multiply
    712.13x = 1,093.92 × 1,093.92
  4. Step 4: Simplify right side
    712.13x = 1,196,665.07
  5. Step 5: Solve for x
    x = 1,196,665.07/712.13
  6. Step 6: Final answer
    x = 1,680.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.