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Finding the Third Proportional to 628.13 and 884.88

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Solution

The third proportional to 628.13 and 884.88 is: 1,246.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.13 : 884.88 = 884.88 : x
  2. Step 2: Convert to fraction form
    628.13/884.88 = 884.88/x
  3. Step 3: Cross multiply
    628.13x = 884.88 × 884.88
  4. Step 4: Simplify right side
    628.13x = 783,003.77
  5. Step 5: Solve for x
    x = 783,003.77/628.13
  6. Step 6: Final answer
    x = 1,246.57

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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.