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Finding the Third Proportional to 541,734.75 and 839,992.13

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Solution

The third proportional to 541,734.75 and 839,992.13 is: 1,302,458.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,734.75 : 839,992.13 = 839,992.13 : x
  2. Step 2: Convert to fraction form
    541,734.75/839,992.13 = 839,992.13/x
  3. Step 3: Cross multiply
    541,734.75x = 839,992.13 × 839,992.13
  4. Step 4: Simplify right side
    541,734.75x = 705,586,770,062.02
  5. Step 5: Solve for x
    x = 705,586,770,062.02/541,734.75
  6. Step 6: Final answer
    x = 1,302,458.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.