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Finding the Third Proportional to 668.81 and 1,032.05

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Solution

The third proportional to 668.81 and 1,032.05 is: 1,592.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.81 : 1,032.05 = 1,032.05 : x
  2. Step 2: Convert to fraction form
    668.81/1,032.05 = 1,032.05/x
  3. Step 3: Cross multiply
    668.81x = 1,032.05 × 1,032.05
  4. Step 4: Simplify right side
    668.81x = 1,065,120.75
  5. Step 5: Solve for x
    x = 1,065,120.75/668.81
  6. Step 6: Final answer
    x = 1,592.56

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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.