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Finding the Third Proportional to 475.88 and 670.69

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Solution

The third proportional to 475.88 and 670.69 is: 945.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.88 : 670.69 = 670.69 : x
  2. Step 2: Convert to fraction form
    475.88/670.69 = 670.69/x
  3. Step 3: Cross multiply
    475.88x = 670.69 × 670.69
  4. Step 4: Simplify right side
    475.88x = 449,821.72
  5. Step 5: Solve for x
    x = 449,821.72/475.88
  6. Step 6: Final answer
    x = 945.25

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.