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Finding the Third Proportional to 906.19 and 1,443.09

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Solution

The third proportional to 906.19 and 1,443.09 is: 2,298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.19 : 1,443.09 = 1,443.09 : x
  2. Step 2: Convert to fraction form
    906.19/1,443.09 = 1,443.09/x
  3. Step 3: Cross multiply
    906.19x = 1,443.09 × 1,443.09
  4. Step 4: Simplify right side
    906.19x = 2,082,519.57
  5. Step 5: Solve for x
    x = 2,082,519.57/906.19
  6. Step 6: Final answer
    x = 2,298.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.