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Finding the Third Proportional to 207,812.25 and 448,782.75

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Solution

The third proportional to 207,812.25 and 448,782.75 is: 969,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,812.25 : 448,782.75 = 448,782.75 : x
  2. Step 2: Convert to fraction form
    207,812.25/448,782.75 = 448,782.75/x
  3. Step 3: Cross multiply
    207,812.25x = 448,782.75 × 448,782.75
  4. Step 4: Simplify right side
    207,812.25x = 201,405,956,697.56
  5. Step 5: Solve for x
    x = 201,405,956,697.56/207,812.25
  6. Step 6: Final answer
    x = 969,172.69

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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.