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Finding the Third Proportional to 376,558 and 827,752

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Solution

The third proportional to 376,558 and 827,752 is: 1,819,569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,558 : 827,752 = 827,752 : x
  2. Step 2: Convert to fraction form
    376,558/827,752 = 827,752/x
  3. Step 3: Cross multiply
    376,558x = 827,752 × 827,752
  4. Step 4: Simplify right side
    376,558x = 685,173,373,504
  5. Step 5: Solve for x
    x = 685,173,373,504/376,558
  6. Step 6: Final answer
    x = 1,819,569.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.