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Finding the Third Proportional to 858.41 and 964.41

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Solution

The third proportional to 858.41 and 964.41 is: 1,083.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.41 : 964.41 = 964.41 : x
  2. Step 2: Convert to fraction form
    858.41/964.41 = 964.41/x
  3. Step 3: Cross multiply
    858.41x = 964.41 × 964.41
  4. Step 4: Simplify right side
    858.41x = 930,079.42
  5. Step 5: Solve for x
    x = 930,079.42/858.41
  6. Step 6: Final answer
    x = 1,083.49

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.