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Finding the Third Proportional to 658.13 and 966.94

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Solution

The third proportional to 658.13 and 966.94 is: 1,420.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.13 : 966.94 = 966.94 : x
  2. Step 2: Convert to fraction form
    658.13/966.94 = 966.94/x
  3. Step 3: Cross multiply
    658.13x = 966.94 × 966.94
  4. Step 4: Simplify right side
    658.13x = 934,968.13
  5. Step 5: Solve for x
    x = 934,968.13/658.13
  6. Step 6: Final answer
    x = 1,420.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.