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Finding the Third Proportional to 669.75 and 1,024.75

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Solution

The third proportional to 669.75 and 1,024.75 is: 1,567.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.75 : 1,024.75 = 1,024.75 : x
  2. Step 2: Convert to fraction form
    669.75/1,024.75 = 1,024.75/x
  3. Step 3: Cross multiply
    669.75x = 1,024.75 × 1,024.75
  4. Step 4: Simplify right side
    669.75x = 1,050,112.56
  5. Step 5: Solve for x
    x = 1,050,112.56/669.75
  6. Step 6: Final answer
    x = 1,567.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.