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Finding the Third Proportional to 429.26 and 940.57

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Solution

The third proportional to 429.26 and 940.57 is: 2,060.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.26 : 940.57 = 940.57 : x
  2. Step 2: Convert to fraction form
    429.26/940.57 = 940.57/x
  3. Step 3: Cross multiply
    429.26x = 940.57 × 940.57
  4. Step 4: Simplify right side
    429.26x = 884,672.51
  5. Step 5: Solve for x
    x = 884,672.51/429.26
  6. Step 6: Final answer
    x = 2,060.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.