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Finding the Third Proportional to 425.72 and 1,017.33

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Solution

The third proportional to 425.72 and 1,017.33 is: 2,431.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.72 : 1,017.33 = 1,017.33 : x
  2. Step 2: Convert to fraction form
    425.72/1,017.33 = 1,017.33/x
  3. Step 3: Cross multiply
    425.72x = 1,017.33 × 1,017.33
  4. Step 4: Simplify right side
    425.72x = 1,034,950.55
  5. Step 5: Solve for x
    x = 1,034,950.55/425.72
  6. Step 6: Final answer
    x = 2,431.03

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.