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Finding the Third Proportional to 469,956.38 and 993,487.50

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Solution

The third proportional to 469,956.38 and 993,487.50 is: 2,100,231.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,956.38 : 993,487.50 = 993,487.50 : x
  2. Step 2: Convert to fraction form
    469,956.38/993,487.50 = 993,487.50/x
  3. Step 3: Cross multiply
    469,956.38x = 993,487.50 × 993,487.50
  4. Step 4: Simplify right side
    469,956.38x = 987,017,412,656.25
  5. Step 5: Solve for x
    x = 987,017,412,656.25/469,956.38
  6. Step 6: Final answer
    x = 2,100,231.99

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.