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Finding the Third Proportional to 271,410.19 and 580,091.91

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Solution

The third proportional to 271,410.19 and 580,091.91 is: 1,239,845.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,410.19 : 580,091.91 = 580,091.91 : x
  2. Step 2: Convert to fraction form
    271,410.19/580,091.91 = 580,091.91/x
  3. Step 3: Cross multiply
    271,410.19x = 580,091.91 × 580,091.91
  4. Step 4: Simplify right side
    271,410.19x = 336,506,619,696.76
  5. Step 5: Solve for x
    x = 336,506,619,696.76/271,410.19
  6. Step 6: Final answer
    x = 1,239,845.21

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Why These Related Problems?

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