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Finding the Third Proportional to 583.88 and 822.94

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Solution

The third proportional to 583.88 and 822.94 is: 1,159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.88 : 822.94 = 822.94 : x
  2. Step 2: Convert to fraction form
    583.88/822.94 = 822.94/x
  3. Step 3: Cross multiply
    583.88x = 822.94 × 822.94
  4. Step 4: Simplify right side
    583.88x = 677,226.13
  5. Step 5: Solve for x
    x = 677,226.13/583.88
  6. Step 6: Final answer
    x = 1,159.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.