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Finding the Third Proportional to 399,882 and 844,716

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Solution

The third proportional to 399,882 and 844,716 is: 1,784,389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,882 : 844,716 = 844,716 : x
  2. Step 2: Convert to fraction form
    399,882/844,716 = 844,716/x
  3. Step 3: Cross multiply
    399,882x = 844,716 × 844,716
  4. Step 4: Simplify right side
    399,882x = 713,545,120,656
  5. Step 5: Solve for x
    x = 713,545,120,656/399,882
  6. Step 6: Final answer
    x = 1,784,389.20

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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.