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Finding the Third Proportional to 200,818.50 and 434,697

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Solution

The third proportional to 200,818.50 and 434,697 is: 940,956.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,818.50 : 434,697 = 434,697 : x
  2. Step 2: Convert to fraction form
    200,818.50/434,697 = 434,697/x
  3. Step 3: Cross multiply
    200,818.50x = 434,697 × 434,697
  4. Step 4: Simplify right side
    200,818.50x = 188,961,481,809
  5. Step 5: Solve for x
    x = 188,961,481,809/200,818.50
  6. Step 6: Final answer
    x = 940,956.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.