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Finding the Third Proportional to 285.75 and 676.55

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Solution

The third proportional to 285.75 and 676.55 is: 1,601.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.75 : 676.55 = 676.55 : x
  2. Step 2: Convert to fraction form
    285.75/676.55 = 676.55/x
  3. Step 3: Cross multiply
    285.75x = 676.55 × 676.55
  4. Step 4: Simplify right side
    285.75x = 457,715.67
  5. Step 5: Solve for x
    x = 457,715.67/285.75
  6. Step 6: Final answer
    x = 1,601.80

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.