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Finding the Third Proportional to 271,411.50 and 580,094.25

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Solution

The third proportional to 271,411.50 and 580,094.25 is: 1,239,849.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,411.50 : 580,094.25 = 580,094.25 : x
  2. Step 2: Convert to fraction form
    271,411.50/580,094.25 = 580,094.25/x
  3. Step 3: Cross multiply
    271,411.50x = 580,094.25 × 580,094.25
  4. Step 4: Simplify right side
    271,411.50x = 336,509,338,883.06
  5. Step 5: Solve for x
    x = 336,509,338,883.06/271,411.50
  6. Step 6: Final answer
    x = 1,239,849.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.