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Finding the Third Proportional to 199,626.75 and 437,899.50

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Solution

The third proportional to 199,626.75 and 437,899.50 is: 960,572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,626.75 : 437,899.50 = 437,899.50 : x
  2. Step 2: Convert to fraction form
    199,626.75/437,899.50 = 437,899.50/x
  3. Step 3: Cross multiply
    199,626.75x = 437,899.50 × 437,899.50
  4. Step 4: Simplify right side
    199,626.75x = 191,755,972,100.25
  5. Step 5: Solve for x
    x = 191,755,972,100.25/199,626.75
  6. Step 6: Final answer
    x = 960,572.53

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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.