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Finding the Third Proportional to 274,195.50 and 583,311

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Solution

The third proportional to 274,195.50 and 583,311 is: 1,240,909.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,195.50 : 583,311 = 583,311 : x
  2. Step 2: Convert to fraction form
    274,195.50/583,311 = 583,311/x
  3. Step 3: Cross multiply
    274,195.50x = 583,311 × 583,311
  4. Step 4: Simplify right side
    274,195.50x = 340,251,722,721
  5. Step 5: Solve for x
    x = 340,251,722,721/274,195.50
  6. Step 6: Final answer
    x = 1,240,909.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.