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Finding the Third Proportional to 271,305.56 and 579,982.50

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Solution

The third proportional to 271,305.56 and 579,982.50 is: 1,239,855.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,305.56 : 579,982.50 = 579,982.50 : x
  2. Step 2: Convert to fraction form
    271,305.56/579,982.50 = 579,982.50/x
  3. Step 3: Cross multiply
    271,305.56x = 579,982.50 × 579,982.50
  4. Step 4: Simplify right side
    271,305.56x = 336,379,700,306.25
  5. Step 5: Solve for x
    x = 336,379,700,306.25/271,305.56
  6. Step 6: Final answer
    x = 1,239,855.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.