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Finding the Third Proportional to 561 and 664

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Solution

The third proportional to 561 and 664 is: 785.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    561 : 664 = 664 : x
  2. Step 2: Convert to fraction form
    561/664 = 664/x
  3. Step 3: Cross multiply
    561x = 664 × 664
  4. Step 4: Simplify right side
    561x = 440,896
  5. Step 5: Solve for x
    x = 440,896/561
  6. Step 6: Final answer
    x = 785.91

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.