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Finding the Third Proportional to 504,517.13 and 781,994.25

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Solution

The third proportional to 504,517.13 and 781,994.25 is: 1,212,079.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,517.13 : 781,994.25 = 781,994.25 : x
  2. Step 2: Convert to fraction form
    504,517.13/781,994.25 = 781,994.25/x
  3. Step 3: Cross multiply
    504,517.13x = 781,994.25 × 781,994.25
  4. Step 4: Simplify right side
    504,517.13x = 611,515,007,033.06
  5. Step 5: Solve for x
    x = 611,515,007,033.06/504,517.13
  6. Step 6: Final answer
    x = 1,212,079.78

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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.