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Finding the Third Proportional to 271,815.38 and 578,622.75

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Solution

The third proportional to 271,815.38 and 578,622.75 is: 1,231,734.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,815.38 : 578,622.75 = 578,622.75 : x
  2. Step 2: Convert to fraction form
    271,815.38/578,622.75 = 578,622.75/x
  3. Step 3: Cross multiply
    271,815.38x = 578,622.75 × 578,622.75
  4. Step 4: Simplify right side
    271,815.38x = 334,804,286,817.56
  5. Step 5: Solve for x
    x = 334,804,286,817.56/271,815.38
  6. Step 6: Final answer
    x = 1,231,734.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.