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Finding the Third Proportional to 297,091.50 and 439,085.25

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Solution

The third proportional to 297,091.50 and 439,085.25 is: 648,944.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,091.50 : 439,085.25 = 439,085.25 : x
  2. Step 2: Convert to fraction form
    297,091.50/439,085.25 = 439,085.25/x
  3. Step 3: Cross multiply
    297,091.50x = 439,085.25 × 439,085.25
  4. Step 4: Simplify right side
    297,091.50x = 192,795,856,767.56
  5. Step 5: Solve for x
    x = 192,795,856,767.56/297,091.50
  6. Step 6: Final answer
    x = 648,944.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.