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Finding the Third Proportional to 361,869 and 771,828

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Solution

The third proportional to 361,869 and 771,828 is: 1,646,226.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,869 : 771,828 = 771,828 : x
  2. Step 2: Convert to fraction form
    361,869/771,828 = 771,828/x
  3. Step 3: Cross multiply
    361,869x = 771,828 × 771,828
  4. Step 4: Simplify right side
    361,869x = 595,718,461,584
  5. Step 5: Solve for x
    x = 595,718,461,584/361,869
  6. Step 6: Final answer
    x = 1,646,226.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.