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Finding the Third Proportional to 366,162 and 771,693

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Solution

The third proportional to 366,162 and 771,693 is: 1,626,356.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,162 : 771,693 = 771,693 : x
  2. Step 2: Convert to fraction form
    366,162/771,693 = 771,693/x
  3. Step 3: Cross multiply
    366,162x = 771,693 × 771,693
  4. Step 4: Simplify right side
    366,162x = 595,510,086,249
  5. Step 5: Solve for x
    x = 595,510,086,249/366,162
  6. Step 6: Final answer
    x = 1,626,356.88

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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.