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Finding the Third Proportional to 659.39 and 1,059.33

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Solution

The third proportional to 659.39 and 1,059.33 is: 1,701.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.39 : 1,059.33 = 1,059.33 : x
  2. Step 2: Convert to fraction form
    659.39/1,059.33 = 1,059.33/x
  3. Step 3: Cross multiply
    659.39x = 1,059.33 × 1,059.33
  4. Step 4: Simplify right side
    659.39x = 1,122,176.08
  5. Step 5: Solve for x
    x = 1,122,176.08/659.39
  6. Step 6: Final answer
    x = 1,701.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.