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Finding the Third Proportional to 377,866 and 798,388

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Solution

The third proportional to 377,866 and 798,388 is: 1,686,903.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,866 : 798,388 = 798,388 : x
  2. Step 2: Convert to fraction form
    377,866/798,388 = 798,388/x
  3. Step 3: Cross multiply
    377,866x = 798,388 × 798,388
  4. Step 4: Simplify right side
    377,866x = 637,423,398,544
  5. Step 5: Solve for x
    x = 637,423,398,544/377,866
  6. Step 6: Final answer
    x = 1,686,903.29

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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.