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Finding the Third Proportional to 429.56 and 928.31

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Solution

The third proportional to 429.56 and 928.31 is: 2,006.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.56 : 928.31 = 928.31 : x
  2. Step 2: Convert to fraction form
    429.56/928.31 = 928.31/x
  3. Step 3: Cross multiply
    429.56x = 928.31 × 928.31
  4. Step 4: Simplify right side
    429.56x = 861,764.10
  5. Step 5: Solve for x
    x = 861,764.10/429.56
  6. Step 6: Final answer
    x = 2,006.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.