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Finding the Third Proportional to 426.75 and 875.06

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Solution

The third proportional to 426.75 and 875.06 is: 1,794.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.75 : 875.06 = 875.06 : x
  2. Step 2: Convert to fraction form
    426.75/875.06 = 875.06/x
  3. Step 3: Cross multiply
    426.75x = 875.06 × 875.06
  4. Step 4: Simplify right side
    426.75x = 765,734.38
  5. Step 5: Solve for x
    x = 765,734.38/426.75
  6. Step 6: Final answer
    x = 1,794.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.