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Finding the Third Proportional to 285.75 and 663.75

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Solution

The third proportional to 285.75 and 663.75 is: 1,541.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.75 : 663.75 = 663.75 : x
  2. Step 2: Convert to fraction form
    285.75/663.75 = 663.75/x
  3. Step 3: Cross multiply
    285.75x = 663.75 × 663.75
  4. Step 4: Simplify right side
    285.75x = 440,564.06
  5. Step 5: Solve for x
    x = 440,564.06/285.75
  6. Step 6: Final answer
    x = 1,541.78

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.