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Finding the Third Proportional to 602.75 and 886.57

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Solution

The third proportional to 602.75 and 886.57 is: 1,304.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.75 : 886.57 = 886.57 : x
  2. Step 2: Convert to fraction form
    602.75/886.57 = 886.57/x
  3. Step 3: Cross multiply
    602.75x = 886.57 × 886.57
  4. Step 4: Simplify right side
    602.75x = 786,006.92
  5. Step 5: Solve for x
    x = 786,006.92/602.75
  6. Step 6: Final answer
    x = 1,304.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.