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Finding the Third Proportional to 596.25 and 885.38

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Solution

The third proportional to 596.25 and 885.38 is: 1,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.25 : 885.38 = 885.38 : x
  2. Step 2: Convert to fraction form
    596.25/885.38 = 885.38/x
  3. Step 3: Cross multiply
    596.25x = 885.38 × 885.38
  4. Step 4: Simplify right side
    596.25x = 783,888.89
  5. Step 5: Solve for x
    x = 783,888.89/596.25
  6. Step 6: Final answer
    x = 1,314.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.