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Finding the Third Proportional to 471.13 and 659.75

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Solution

The third proportional to 471.13 and 659.75 is: 923.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.13 : 659.75 = 659.75 : x
  2. Step 2: Convert to fraction form
    471.13/659.75 = 659.75/x
  3. Step 3: Cross multiply
    471.13x = 659.75 × 659.75
  4. Step 4: Simplify right side
    471.13x = 435,270.06
  5. Step 5: Solve for x
    x = 435,270.06/471.13
  6. Step 6: Final answer
    x = 923.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.