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Finding the Third Proportional to 282,759 and 605,994.75

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Solution

The third proportional to 282,759 and 605,994.75 is: 1,298,737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,759 : 605,994.75 = 605,994.75 : x
  2. Step 2: Convert to fraction form
    282,759/605,994.75 = 605,994.75/x
  3. Step 3: Cross multiply
    282,759x = 605,994.75 × 605,994.75
  4. Step 4: Simplify right side
    282,759x = 367,229,637,027.56
  5. Step 5: Solve for x
    x = 367,229,637,027.56/282,759
  6. Step 6: Final answer
    x = 1,298,737.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.