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Finding the Third Proportional to 377,866 and 798,386

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Solution

The third proportional to 377,866 and 798,386 is: 1,686,894.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,866 : 798,386 = 798,386 : x
  2. Step 2: Convert to fraction form
    377,866/798,386 = 798,386/x
  3. Step 3: Cross multiply
    377,866x = 798,386 × 798,386
  4. Step 4: Simplify right side
    377,866x = 637,420,204,996
  5. Step 5: Solve for x
    x = 637,420,204,996/377,866
  6. Step 6: Final answer
    x = 1,686,894.84

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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.