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Finding the Third Proportional to 271,438.31 and 536,063.91

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Solution

The third proportional to 271,438.31 and 536,063.91 is: 1,058,673.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,438.31 : 536,063.91 = 536,063.91 : x
  2. Step 2: Convert to fraction form
    271,438.31/536,063.91 = 536,063.91/x
  3. Step 3: Cross multiply
    271,438.31x = 536,063.91 × 536,063.91
  4. Step 4: Simplify right side
    271,438.31x = 287,364,511,584.01
  5. Step 5: Solve for x
    x = 287,364,511,584.01/271,438.31
  6. Step 6: Final answer
    x = 1,058,673.36

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.