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Finding the Third Proportional to 448,299 and 967,441.50

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Solution

The third proportional to 448,299 and 967,441.50 is: 2,087,765.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,299 : 967,441.50 = 967,441.50 : x
  2. Step 2: Convert to fraction form
    448,299/967,441.50 = 967,441.50/x
  3. Step 3: Cross multiply
    448,299x = 967,441.50 × 967,441.50
  4. Step 4: Simplify right side
    448,299x = 935,943,055,922.25
  5. Step 5: Solve for x
    x = 935,943,055,922.25/448,299
  6. Step 6: Final answer
    x = 2,087,765.21

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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.