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Finding the Third Proportional to 271,570.22 and 410,850.14

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Solution

The third proportional to 271,570.22 and 410,850.14 is: 621,562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,570.22 : 410,850.14 = 410,850.14 : x
  2. Step 2: Convert to fraction form
    271,570.22/410,850.14 = 410,850.14/x
  3. Step 3: Cross multiply
    271,570.22x = 410,850.14 × 410,850.14
  4. Step 4: Simplify right side
    271,570.22x = 168,797,838,051.58
  5. Step 5: Solve for x
    x = 168,797,838,051.58/271,570.22
  6. Step 6: Final answer
    x = 621,562.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.