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Finding the Third Proportional to 649 and 964

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Solution

The third proportional to 649 and 964 is: 1,431.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    649 : 964 = 964 : x
  2. Step 2: Convert to fraction form
    649/964 = 964/x
  3. Step 3: Cross multiply
    649x = 964 × 964
  4. Step 4: Simplify right side
    649x = 929,296
  5. Step 5: Solve for x
    x = 929,296/649
  6. Step 6: Final answer
    x = 1,431.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.