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Finding the Third Proportional to 712.41 and 967.92

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Solution

The third proportional to 712.41 and 967.92 is: 1,315.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.41 : 967.92 = 967.92 : x
  2. Step 2: Convert to fraction form
    712.41/967.92 = 967.92/x
  3. Step 3: Cross multiply
    712.41x = 967.92 × 967.92
  4. Step 4: Simplify right side
    712.41x = 936,872.76
  5. Step 5: Solve for x
    x = 936,872.76/712.41
  6. Step 6: Final answer
    x = 1,315.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.