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Finding the Third Proportional to 271,059 and 418,876.50

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Solution

The third proportional to 271,059 and 418,876.50 is: 647,303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,059 : 418,876.50 = 418,876.50 : x
  2. Step 2: Convert to fraction form
    271,059/418,876.50 = 418,876.50/x
  3. Step 3: Cross multiply
    271,059x = 418,876.50 × 418,876.50
  4. Step 4: Simplify right side
    271,059x = 175,457,522,252.25
  5. Step 5: Solve for x
    x = 175,457,522,252.25/271,059
  6. Step 6: Final answer
    x = 647,303.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.