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Finding the Third Proportional to 362,866.50 and 768,995

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Solution

The third proportional to 362,866.50 and 768,995 is: 1,629,671.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,866.50 : 768,995 = 768,995 : x
  2. Step 2: Convert to fraction form
    362,866.50/768,995 = 768,995/x
  3. Step 3: Cross multiply
    362,866.50x = 768,995 × 768,995
  4. Step 4: Simplify right side
    362,866.50x = 591,353,310,025
  5. Step 5: Solve for x
    x = 591,353,310,025/362,866.50
  6. Step 6: Final answer
    x = 1,629,671.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.