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Finding the Third Proportional to 448,639.50 and 967,722

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Solution

The third proportional to 448,639.50 and 967,722 is: 2,087,390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,639.50 : 967,722 = 967,722 : x
  2. Step 2: Convert to fraction form
    448,639.50/967,722 = 967,722/x
  3. Step 3: Cross multiply
    448,639.50x = 967,722 × 967,722
  4. Step 4: Simplify right side
    448,639.50x = 936,485,869,284
  5. Step 5: Solve for x
    x = 936,485,869,284/448,639.50
  6. Step 6: Final answer
    x = 2,087,390.59

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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.