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Finding the Third Proportional to 534,701.25 and 777,974.63

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Solution

The third proportional to 534,701.25 and 777,974.63 is: 1,131,930.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,701.25 : 777,974.63 = 777,974.63 : x
  2. Step 2: Convert to fraction form
    534,701.25/777,974.63 = 777,974.63/x
  3. Step 3: Cross multiply
    534,701.25x = 777,974.63 × 777,974.63
  4. Step 4: Simplify right side
    534,701.25x = 605,244,517,143.89
  5. Step 5: Solve for x
    x = 605,244,517,143.89/534,701.25
  6. Step 6: Final answer
    x = 1,131,930.25

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.