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Finding the Third Proportional to 659.38 and 1,029.75

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Solution

The third proportional to 659.38 and 1,029.75 is: 1,608.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.38 : 1,029.75 = 1,029.75 : x
  2. Step 2: Convert to fraction form
    659.38/1,029.75 = 1,029.75/x
  3. Step 3: Cross multiply
    659.38x = 1,029.75 × 1,029.75
  4. Step 4: Simplify right side
    659.38x = 1,060,385.06
  5. Step 5: Solve for x
    x = 1,060,385.06/659.38
  6. Step 6: Final answer
    x = 1,608.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.