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Finding the Third Proportional to 271,434.80 and 536,057.37

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Solution

The third proportional to 271,434.80 and 536,057.37 is: 1,058,661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,434.80 : 536,057.37 = 536,057.37 : x
  2. Step 2: Convert to fraction form
    271,434.80/536,057.37 = 536,057.37/x
  3. Step 3: Cross multiply
    271,434.80x = 536,057.37 × 536,057.37
  4. Step 4: Simplify right side
    271,434.80x = 287,357,500,915.99
  5. Step 5: Solve for x
    x = 287,357,500,915.99/271,434.80
  6. Step 6: Final answer
    x = 1,058,661.25

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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.