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Finding the Third Proportional to 501,198 and 777,249

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Solution

The third proportional to 501,198 and 777,249 is: 1,205,344.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,198 : 777,249 = 777,249 : x
  2. Step 2: Convert to fraction form
    501,198/777,249 = 777,249/x
  3. Step 3: Cross multiply
    501,198x = 777,249 × 777,249
  4. Step 4: Simplify right side
    501,198x = 604,116,008,001
  5. Step 5: Solve for x
    x = 604,116,008,001/501,198
  6. Step 6: Final answer
    x = 1,205,344.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.