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Finding the Third Proportional to 651.75 and 974.38

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Solution

The third proportional to 651.75 and 974.38 is: 1,456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.75 : 974.38 = 974.38 : x
  2. Step 2: Convert to fraction form
    651.75/974.38 = 974.38/x
  3. Step 3: Cross multiply
    651.75x = 974.38 × 974.38
  4. Step 4: Simplify right side
    651.75x = 949,406.64
  5. Step 5: Solve for x
    x = 949,406.64/651.75
  6. Step 6: Final answer
    x = 1,456.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.