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Finding the Third Proportional to 475.50 and 1,022.06

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Solution

The third proportional to 475.50 and 1,022.06 is: 2,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.50 : 1,022.06 = 1,022.06 : x
  2. Step 2: Convert to fraction form
    475.50/1,022.06 = 1,022.06/x
  3. Step 3: Cross multiply
    475.50x = 1,022.06 × 1,022.06
  4. Step 4: Simplify right side
    475.50x = 1,044,611.75
  5. Step 5: Solve for x
    x = 1,044,611.75/475.50
  6. Step 6: Final answer
    x = 2,196.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.