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Finding the Third Proportional to 272,353.50 and 582,093

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Solution

The third proportional to 272,353.50 and 582,093 is: 1,244,089.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,353.50 : 582,093 = 582,093 : x
  2. Step 2: Convert to fraction form
    272,353.50/582,093 = 582,093/x
  3. Step 3: Cross multiply
    272,353.50x = 582,093 × 582,093
  4. Step 4: Simplify right side
    272,353.50x = 338,832,260,649
  5. Step 5: Solve for x
    x = 338,832,260,649/272,353.50
  6. Step 6: Final answer
    x = 1,244,089.98

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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.