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Finding the Third Proportional to 271,662.75 and 589,998.38

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Solution

The third proportional to 271,662.75 and 589,998.38 is: 1,281,361.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,662.75 : 589,998.38 = 589,998.38 : x
  2. Step 2: Convert to fraction form
    271,662.75/589,998.38 = 589,998.38/x
  3. Step 3: Cross multiply
    271,662.75x = 589,998.38 × 589,998.38
  4. Step 4: Simplify right side
    271,662.75x = 348,098,082,502.64
  5. Step 5: Solve for x
    x = 348,098,082,502.64/271,662.75
  6. Step 6: Final answer
    x = 1,281,361.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.