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Finding the Third Proportional to 663.15 and 1,023.55

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Solution

The third proportional to 663.15 and 1,023.55 is: 1,579.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.15 : 1,023.55 = 1,023.55 : x
  2. Step 2: Convert to fraction form
    663.15/1,023.55 = 1,023.55/x
  3. Step 3: Cross multiply
    663.15x = 1,023.55 × 1,023.55
  4. Step 4: Simplify right side
    663.15x = 1,047,663.70
  5. Step 5: Solve for x
    x = 1,047,663.70/663.15
  6. Step 6: Final answer
    x = 1,579.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.