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Finding the Third Proportional to 200,819.50 and 434,700

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Solution

The third proportional to 200,819.50 and 434,700 is: 940,964.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,819.50 : 434,700 = 434,700 : x
  2. Step 2: Convert to fraction form
    200,819.50/434,700 = 434,700/x
  3. Step 3: Cross multiply
    200,819.50x = 434,700 × 434,700
  4. Step 4: Simplify right side
    200,819.50x = 188,964,090,000
  5. Step 5: Solve for x
    x = 188,964,090,000/200,819.50
  6. Step 6: Final answer
    x = 940,964.85

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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.