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Finding the Third Proportional to 728,156.25 and 1,092,234.75

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Solution

The third proportional to 728,156.25 and 1,092,234.75 is: 1,638,352.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,156.25 : 1,092,234.75 = 1,092,234.75 : x
  2. Step 2: Convert to fraction form
    728,156.25/1,092,234.75 = 1,092,234.75/x
  3. Step 3: Cross multiply
    728,156.25x = 1,092,234.75 × 1,092,234.75
  4. Step 4: Simplify right side
    728,156.25x = 1,192,976,749,107.56
  5. Step 5: Solve for x
    x = 1,192,976,749,107.56/728,156.25
  6. Step 6: Final answer
    x = 1,638,352.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.