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Finding the Third Proportional to 429.05 and 876.60

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Solution

The third proportional to 429.05 and 876.60 is: 1,791.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.05 : 876.60 = 876.60 : x
  2. Step 2: Convert to fraction form
    429.05/876.60 = 876.60/x
  3. Step 3: Cross multiply
    429.05x = 876.60 × 876.60
  4. Step 4: Simplify right side
    429.05x = 768,433.72
  5. Step 5: Solve for x
    x = 768,433.72/429.05
  6. Step 6: Final answer
    x = 1,791.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.