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Finding the Third Proportional to 272,335.50 and 582,194.25

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Solution

The third proportional to 272,335.50 and 582,194.25 is: 1,244,605.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,335.50 : 582,194.25 = 582,194.25 : x
  2. Step 2: Convert to fraction form
    272,335.50/582,194.25 = 582,194.25/x
  3. Step 3: Cross multiply
    272,335.50x = 582,194.25 × 582,194.25
  4. Step 4: Simplify right side
    272,335.50x = 338,950,144,733.06
  5. Step 5: Solve for x
    x = 338,950,144,733.06/272,335.50
  6. Step 6: Final answer
    x = 1,244,605.07

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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.