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Finding the Third Proportional to 400,000 and 844,964

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Solution

The third proportional to 400,000 and 844,964 is: 1,784,910.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,000 : 844,964 = 844,964 : x
  2. Step 2: Convert to fraction form
    400,000/844,964 = 844,964/x
  3. Step 3: Cross multiply
    400,000x = 844,964 × 844,964
  4. Step 4: Simplify right side
    400,000x = 713,964,161,296
  5. Step 5: Solve for x
    x = 713,964,161,296/400,000
  6. Step 6: Final answer
    x = 1,784,910.40

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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.