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Finding the Third Proportional to 822.52 and 1,107.98

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Solution

The third proportional to 822.52 and 1,107.98 is: 1,492.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.52 : 1,107.98 = 1,107.98 : x
  2. Step 2: Convert to fraction form
    822.52/1,107.98 = 1,107.98/x
  3. Step 3: Cross multiply
    822.52x = 1,107.98 × 1,107.98
  4. Step 4: Simplify right side
    822.52x = 1,227,629.38
  5. Step 5: Solve for x
    x = 1,227,629.38/822.52
  6. Step 6: Final answer
    x = 1,492.53

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.