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Finding the Third Proportional to 368,296 and 806,858

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Solution

The third proportional to 368,296 and 806,858 is: 1,767,653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,296 : 806,858 = 806,858 : x
  2. Step 2: Convert to fraction form
    368,296/806,858 = 806,858/x
  3. Step 3: Cross multiply
    368,296x = 806,858 × 806,858
  4. Step 4: Simplify right side
    368,296x = 651,019,832,164
  5. Step 5: Solve for x
    x = 651,019,832,164/368,296
  6. Step 6: Final answer
    x = 1,767,653.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.