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Finding the Third Proportional to 207,805.50 and 448,041.38

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Solution

The third proportional to 207,805.50 and 448,041.38 is: 966,004.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,805.50 : 448,041.38 = 448,041.38 : x
  2. Step 2: Convert to fraction form
    207,805.50/448,041.38 = 448,041.38/x
  3. Step 3: Cross multiply
    207,805.50x = 448,041.38 × 448,041.38
  4. Step 4: Simplify right side
    207,805.50x = 200,741,073,711.89
  5. Step 5: Solve for x
    x = 200,741,073,711.89/207,805.50
  6. Step 6: Final answer
    x = 966,004.62

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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.