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Finding the Third Proportional to 481,362.75 and 744,977.25

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Solution

The third proportional to 481,362.75 and 744,977.25 is: 1,152,958.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,362.75 : 744,977.25 = 744,977.25 : x
  2. Step 2: Convert to fraction form
    481,362.75/744,977.25 = 744,977.25/x
  3. Step 3: Cross multiply
    481,362.75x = 744,977.25 × 744,977.25
  4. Step 4: Simplify right side
    481,362.75x = 554,991,103,017.56
  5. Step 5: Solve for x
    x = 554,991,103,017.56/481,362.75
  6. Step 6: Final answer
    x = 1,152,958.14

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