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Finding the Third Proportional to 964.13 and 1,314.56

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Solution

The third proportional to 964.13 and 1,314.56 is: 1,792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.13 : 1,314.56 = 1,314.56 : x
  2. Step 2: Convert to fraction form
    964.13/1,314.56 = 1,314.56/x
  3. Step 3: Cross multiply
    964.13x = 1,314.56 × 1,314.56
  4. Step 4: Simplify right side
    964.13x = 1,728,074.57
  5. Step 5: Solve for x
    x = 1,728,074.57/964.13
  6. Step 6: Final answer
    x = 1,792.38

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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.