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Finding the Third Proportional to 399,998 and 844,960

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Solution

The third proportional to 399,998 and 844,960 is: 1,784,902.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,998 : 844,960 = 844,960 : x
  2. Step 2: Convert to fraction form
    399,998/844,960 = 844,960/x
  3. Step 3: Cross multiply
    399,998x = 844,960 × 844,960
  4. Step 4: Simplify right side
    399,998x = 713,957,401,600
  5. Step 5: Solve for x
    x = 713,957,401,600/399,998
  6. Step 6: Final answer
    x = 1,784,902.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.