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Finding the Third Proportional to 388,910 and 844,213

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Solution

The third proportional to 388,910 and 844,213 is: 1,832,546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,910 : 844,213 = 844,213 : x
  2. Step 2: Convert to fraction form
    388,910/844,213 = 844,213/x
  3. Step 3: Cross multiply
    388,910x = 844,213 × 844,213
  4. Step 4: Simplify right side
    388,910x = 712,695,589,369
  5. Step 5: Solve for x
    x = 712,695,589,369/388,910
  6. Step 6: Final answer
    x = 1,832,546.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.