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Finding the Third Proportional to 362,832.75 and 773,786.25

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Solution

The third proportional to 362,832.75 and 773,786.25 is: 1,650,196.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,832.75 : 773,786.25 = 773,786.25 : x
  2. Step 2: Convert to fraction form
    362,832.75/773,786.25 = 773,786.25/x
  3. Step 3: Cross multiply
    362,832.75x = 773,786.25 × 773,786.25
  4. Step 4: Simplify right side
    362,832.75x = 598,745,160,689.06
  5. Step 5: Solve for x
    x = 598,745,160,689.06/362,832.75
  6. Step 6: Final answer
    x = 1,650,196.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.