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Finding the Third Proportional to 368,379 and 806,886

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Solution

The third proportional to 368,379 and 806,886 is: 1,767,378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,379 : 806,886 = 806,886 : x
  2. Step 2: Convert to fraction form
    368,379/806,886 = 806,886/x
  3. Step 3: Cross multiply
    368,379x = 806,886 × 806,886
  4. Step 4: Simplify right side
    368,379x = 651,065,016,996
  5. Step 5: Solve for x
    x = 651,065,016,996/368,379
  6. Step 6: Final answer
    x = 1,767,378.21

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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.