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Finding the Third Proportional to 199,627.50 and 437,901

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Solution

The third proportional to 199,627.50 and 437,901 is: 960,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,627.50 : 437,901 = 437,901 : x
  2. Step 2: Convert to fraction form
    199,627.50/437,901 = 437,901/x
  3. Step 3: Cross multiply
    199,627.50x = 437,901 × 437,901
  4. Step 4: Simplify right side
    199,627.50x = 191,757,285,801
  5. Step 5: Solve for x
    x = 191,757,285,801/199,627.50
  6. Step 6: Final answer
    x = 960,575.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.