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Finding the Third Proportional to 559.41 and 822.66

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Solution

The third proportional to 559.41 and 822.66 is: 1,209.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.41 : 822.66 = 822.66 : x
  2. Step 2: Convert to fraction form
    559.41/822.66 = 822.66/x
  3. Step 3: Cross multiply
    559.41x = 822.66 × 822.66
  4. Step 4: Simplify right side
    559.41x = 676,763.31
  5. Step 5: Solve for x
    x = 676,763.31/559.41
  6. Step 6: Final answer
    x = 1,209.79

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Why These Related Problems?

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