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Finding the Third Proportional to 258,249.50 and 557,995

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Solution

The third proportional to 258,249.50 and 557,995 is: 1,205,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,249.50 : 557,995 = 557,995 : x
  2. Step 2: Convert to fraction form
    258,249.50/557,995 = 557,995/x
  3. Step 3: Cross multiply
    258,249.50x = 557,995 × 557,995
  4. Step 4: Simplify right side
    258,249.50x = 311,358,420,025
  5. Step 5: Solve for x
    x = 311,358,420,025/258,249.50
  6. Step 6: Final answer
    x = 1,205,649.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.