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Finding the Third Proportional to 668.25 and 1,465.59

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Solution

The third proportional to 668.25 and 1,465.59 is: 3,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.25 : 1,465.59 = 1,465.59 : x
  2. Step 2: Convert to fraction form
    668.25/1,465.59 = 1,465.59/x
  3. Step 3: Cross multiply
    668.25x = 1,465.59 × 1,465.59
  4. Step 4: Simplify right side
    668.25x = 2,147,965.04
  5. Step 5: Solve for x
    x = 2,147,965.04/668.25
  6. Step 6: Final answer
    x = 3,214.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.