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Finding the Third Proportional to 906.05 and 1,471.57

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Solution

The third proportional to 906.05 and 1,471.57 is: 2,390.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.05 : 1,471.57 = 1,471.57 : x
  2. Step 2: Convert to fraction form
    906.05/1,471.57 = 1,471.57/x
  3. Step 3: Cross multiply
    906.05x = 1,471.57 × 1,471.57
  4. Step 4: Simplify right side
    906.05x = 2,165,519.18
  5. Step 5: Solve for x
    x = 2,165,519.18/906.05
  6. Step 6: Final answer
    x = 2,390.07

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.