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Finding the Third Proportional to 243,516.38 and 434,443.50

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Solution

The third proportional to 243,516.38 and 434,443.50 is: 775,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,516.38 : 434,443.50 = 434,443.50 : x
  2. Step 2: Convert to fraction form
    243,516.38/434,443.50 = 434,443.50/x
  3. Step 3: Cross multiply
    243,516.38x = 434,443.50 × 434,443.50
  4. Step 4: Simplify right side
    243,516.38x = 188,741,154,692.25
  5. Step 5: Solve for x
    x = 188,741,154,692.25/243,516.38
  6. Step 6: Final answer
    x = 775,065.56

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.