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Finding the Third Proportional to 675.50 and 883.38

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Solution

The third proportional to 675.50 and 883.38 is: 1,155.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.50 : 883.38 = 883.38 : x
  2. Step 2: Convert to fraction form
    675.50/883.38 = 883.38/x
  3. Step 3: Cross multiply
    675.50x = 883.38 × 883.38
  4. Step 4: Simplify right side
    675.50x = 780,351.39
  5. Step 5: Solve for x
    x = 780,351.39/675.50
  6. Step 6: Final answer
    x = 1,155.22

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.