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Finding the Third Proportional to 426.84 and 896.44

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Solution

The third proportional to 426.84 and 896.44 is: 1,882.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.84 : 896.44 = 896.44 : x
  2. Step 2: Convert to fraction form
    426.84/896.44 = 896.44/x
  3. Step 3: Cross multiply
    426.84x = 896.44 × 896.44
  4. Step 4: Simplify right side
    426.84x = 803,600.19
  5. Step 5: Solve for x
    x = 803,600.19/426.84
  6. Step 6: Final answer
    x = 1,882.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.