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Finding the Third Proportional to 386,795.25 and 591,310.25

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Solution

The third proportional to 386,795.25 and 591,310.25 is: 903,960.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,795.25 : 591,310.25 = 591,310.25 : x
  2. Step 2: Convert to fraction form
    386,795.25/591,310.25 = 591,310.25/x
  3. Step 3: Cross multiply
    386,795.25x = 591,310.25 × 591,310.25
  4. Step 4: Simplify right side
    386,795.25x = 349,647,811,755.06
  5. Step 5: Solve for x
    x = 349,647,811,755.06/386,795.25
  6. Step 6: Final answer
    x = 903,960.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.