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Finding the Third Proportional to 377,967 and 822,364

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Solution

The third proportional to 377,967 and 822,364 is: 1,789,263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,967 : 822,364 = 822,364 : x
  2. Step 2: Convert to fraction form
    377,967/822,364 = 822,364/x
  3. Step 3: Cross multiply
    377,967x = 822,364 × 822,364
  4. Step 4: Simplify right side
    377,967x = 676,282,548,496
  5. Step 5: Solve for x
    x = 676,282,548,496/377,967
  6. Step 6: Final answer
    x = 1,789,263.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.