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Finding the Third Proportional to 386,603 and 833,080

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Solution

The third proportional to 386,603 and 833,080 is: 1,795,180.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,603 : 833,080 = 833,080 : x
  2. Step 2: Convert to fraction form
    386,603/833,080 = 833,080/x
  3. Step 3: Cross multiply
    386,603x = 833,080 × 833,080
  4. Step 4: Simplify right side
    386,603x = 694,022,286,400
  5. Step 5: Solve for x
    x = 694,022,286,400/386,603
  6. Step 6: Final answer
    x = 1,795,180.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.