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Finding the Third Proportional to 297,456.75 and 446,843.25

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Solution

The third proportional to 297,456.75 and 446,843.25 is: 671,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,456.75 : 446,843.25 = 446,843.25 : x
  2. Step 2: Convert to fraction form
    297,456.75/446,843.25 = 446,843.25/x
  3. Step 3: Cross multiply
    297,456.75x = 446,843.25 × 446,843.25
  4. Step 4: Simplify right side
    297,456.75x = 199,668,890,070.56
  5. Step 5: Solve for x
    x = 199,668,890,070.56/297,456.75
  6. Step 6: Final answer
    x = 671,253.52

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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.