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Finding the Third Proportional to 268,234.50 and 582,603

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Solution

The third proportional to 268,234.50 and 582,603 is: 1,265,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,234.50 : 582,603 = 582,603 : x
  2. Step 2: Convert to fraction form
    268,234.50/582,603 = 582,603/x
  3. Step 3: Cross multiply
    268,234.50x = 582,603 × 582,603
  4. Step 4: Simplify right side
    268,234.50x = 339,426,255,609
  5. Step 5: Solve for x
    x = 339,426,255,609/268,234.50
  6. Step 6: Final answer
    x = 1,265,408.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.