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Finding the Third Proportional to 271,015.31 and 563,535.56

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Solution

The third proportional to 271,015.31 and 563,535.56 is: 1,171,787.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,015.31 : 563,535.56 = 563,535.56 : x
  2. Step 2: Convert to fraction form
    271,015.31/563,535.56 = 563,535.56/x
  3. Step 3: Cross multiply
    271,015.31x = 563,535.56 × 563,535.56
  4. Step 4: Simplify right side
    271,015.31x = 317,572,330,202.19
  5. Step 5: Solve for x
    x = 317,572,330,202.19/271,015.31
  6. Step 6: Final answer
    x = 1,171,787.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.