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Finding the Third Proportional to 271,687.50 and 595,863

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Solution

The third proportional to 271,687.50 and 595,863 is: 1,306,842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,687.50 : 595,863 = 595,863 : x
  2. Step 2: Convert to fraction form
    271,687.50/595,863 = 595,863/x
  3. Step 3: Cross multiply
    271,687.50x = 595,863 × 595,863
  4. Step 4: Simplify right side
    271,687.50x = 355,052,714,769
  5. Step 5: Solve for x
    x = 355,052,714,769/271,687.50
  6. Step 6: Final answer
    x = 1,306,842.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.