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Finding the Third Proportional to 207,840.94 and 448,912.13

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Solution

The third proportional to 207,840.94 and 448,912.13 is: 969,597.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,840.94 : 448,912.13 = 448,912.13 : x
  2. Step 2: Convert to fraction form
    207,840.94/448,912.13 = 448,912.13/x
  3. Step 3: Cross multiply
    207,840.94x = 448,912.13 × 448,912.13
  4. Step 4: Simplify right side
    207,840.94x = 201,522,095,972.02
  5. Step 5: Solve for x
    x = 201,522,095,972.02/207,840.94
  6. Step 6: Final answer
    x = 969,597.70

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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.