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Finding the Third Proportional to 563.06 and 680.91

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Solution

The third proportional to 563.06 and 680.91 is: 823.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.06 : 680.91 = 680.91 : x
  2. Step 2: Convert to fraction form
    563.06/680.91 = 680.91/x
  3. Step 3: Cross multiply
    563.06x = 680.91 × 680.91
  4. Step 4: Simplify right side
    563.06x = 463,633.32
  5. Step 5: Solve for x
    x = 463,633.32/563.06
  6. Step 6: Final answer
    x = 823.41

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.