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Finding the Third Proportional to 429,144.75 and 932,033.25

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Solution

The third proportional to 429,144.75 and 932,033.25 is: 2,024,226.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,144.75 : 932,033.25 = 932,033.25 : x
  2. Step 2: Convert to fraction form
    429,144.75/932,033.25 = 932,033.25/x
  3. Step 3: Cross multiply
    429,144.75x = 932,033.25 × 932,033.25
  4. Step 4: Simplify right side
    429,144.75x = 868,685,979,105.56
  5. Step 5: Solve for x
    x = 868,685,979,105.56/429,144.75
  6. Step 6: Final answer
    x = 2,024,226.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.