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Finding the Third Proportional to 553.50 and 886.75

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Solution

The third proportional to 553.50 and 886.75 is: 1,420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.50 : 886.75 = 886.75 : x
  2. Step 2: Convert to fraction form
    553.50/886.75 = 886.75/x
  3. Step 3: Cross multiply
    553.50x = 886.75 × 886.75
  4. Step 4: Simplify right side
    553.50x = 786,325.56
  5. Step 5: Solve for x
    x = 786,325.56/553.50
  6. Step 6: Final answer
    x = 1,420.64

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.