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Finding the Third Proportional to 475.69 and 639.84

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Solution

The third proportional to 475.69 and 639.84 is: 860.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.69 : 639.84 = 639.84 : x
  2. Step 2: Convert to fraction form
    475.69/639.84 = 639.84/x
  3. Step 3: Cross multiply
    475.69x = 639.84 × 639.84
  4. Step 4: Simplify right side
    475.69x = 409,400.02
  5. Step 5: Solve for x
    x = 409,400.02/475.69
  6. Step 6: Final answer
    x = 860.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.