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Finding the Third Proportional to 582.50 and 822.75

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Solution

The third proportional to 582.50 and 822.75 is: 1,162.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.50 : 822.75 = 822.75 : x
  2. Step 2: Convert to fraction form
    582.50/822.75 = 822.75/x
  3. Step 3: Cross multiply
    582.50x = 822.75 × 822.75
  4. Step 4: Simplify right side
    582.50x = 676,917.56
  5. Step 5: Solve for x
    x = 676,917.56/582.50
  6. Step 6: Final answer
    x = 1,162.09

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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.