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Finding the Third Proportional to 221,716.41 and 486,352.41

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Solution

The third proportional to 221,716.41 and 486,352.41 is: 1,066,852.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,716.41 : 486,352.41 = 486,352.41 : x
  2. Step 2: Convert to fraction form
    221,716.41/486,352.41 = 486,352.41/x
  3. Step 3: Cross multiply
    221,716.41x = 486,352.41 × 486,352.41
  4. Step 4: Simplify right side
    221,716.41x = 236,538,663,065.17
  5. Step 5: Solve for x
    x = 236,538,663,065.17/221,716.41
  6. Step 6: Final answer
    x = 1,066,852.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.