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Finding the Third Proportional to 354,992.25 and 536,184.75

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Solution

The third proportional to 354,992.25 and 536,184.75 is: 809,860.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,992.25 : 536,184.75 = 536,184.75 : x
  2. Step 2: Convert to fraction form
    354,992.25/536,184.75 = 536,184.75/x
  3. Step 3: Cross multiply
    354,992.25x = 536,184.75 × 536,184.75
  4. Step 4: Simplify right side
    354,992.25x = 287,494,086,132.56
  5. Step 5: Solve for x
    x = 287,494,086,132.56/354,992.25
  6. Step 6: Final answer
    x = 809,860.18

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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.