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Finding the Third Proportional to 273,647.50 and 598,837

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Solution

The third proportional to 273,647.50 and 598,837 is: 1,310,466.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,647.50 : 598,837 = 598,837 : x
  2. Step 2: Convert to fraction form
    273,647.50/598,837 = 598,837/x
  3. Step 3: Cross multiply
    273,647.50x = 598,837 × 598,837
  4. Step 4: Simplify right side
    273,647.50x = 358,605,752,569
  5. Step 5: Solve for x
    x = 358,605,752,569/273,647.50
  6. Step 6: Final answer
    x = 1,310,466.03

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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.