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Finding the Third Proportional to 463.94 and 712.97

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Solution

The third proportional to 463.94 and 712.97 is: 1,095.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.94 : 712.97 = 712.97 : x
  2. Step 2: Convert to fraction form
    463.94/712.97 = 712.97/x
  3. Step 3: Cross multiply
    463.94x = 712.97 × 712.97
  4. Step 4: Simplify right side
    463.94x = 508,324.44
  5. Step 5: Solve for x
    x = 508,324.44/463.94
  6. Step 6: Final answer
    x = 1,095.67

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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.