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Finding the Third Proportional to 448,906.50 and 969,032.25

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Solution

The third proportional to 448,906.50 and 969,032.25 is: 2,091,801.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,906.50 : 969,032.25 = 969,032.25 : x
  2. Step 2: Convert to fraction form
    448,906.50/969,032.25 = 969,032.25/x
  3. Step 3: Cross multiply
    448,906.50x = 969,032.25 × 969,032.25
  4. Step 4: Simplify right side
    448,906.50x = 939,023,501,540.06
  5. Step 5: Solve for x
    x = 939,023,501,540.06/448,906.50
  6. Step 6: Final answer
    x = 2,091,801.97

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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.