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Finding the Third Proportional to 274,351.50 and 598,977

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Solution

The third proportional to 274,351.50 and 598,977 is: 1,307,714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,351.50 : 598,977 = 598,977 : x
  2. Step 2: Convert to fraction form
    274,351.50/598,977 = 598,977/x
  3. Step 3: Cross multiply
    274,351.50x = 598,977 × 598,977
  4. Step 4: Simplify right side
    274,351.50x = 358,773,446,529
  5. Step 5: Solve for x
    x = 358,773,446,529/274,351.50
  6. Step 6: Final answer
    x = 1,307,714.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.