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Finding the Third Proportional to 362,867.50 and 768,997

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Solution

The third proportional to 362,867.50 and 768,997 is: 1,629,675.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,867.50 : 768,997 = 768,997 : x
  2. Step 2: Convert to fraction form
    362,867.50/768,997 = 768,997/x
  3. Step 3: Cross multiply
    362,867.50x = 768,997 × 768,997
  4. Step 4: Simplify right side
    362,867.50x = 591,356,386,009
  5. Step 5: Solve for x
    x = 591,356,386,009/362,867.50
  6. Step 6: Final answer
    x = 1,629,675.81

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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.