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Finding the Third Proportional to 536,485 and 810,199

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Solution

The third proportional to 536,485 and 810,199 is: 1,223,561.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,485 : 810,199 = 810,199 : x
  2. Step 2: Convert to fraction form
    536,485/810,199 = 810,199/x
  3. Step 3: Cross multiply
    536,485x = 810,199 × 810,199
  4. Step 4: Simplify right side
    536,485x = 656,422,419,601
  5. Step 5: Solve for x
    x = 656,422,419,601/536,485
  6. Step 6: Final answer
    x = 1,223,561.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.