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Finding the Third Proportional to 481,410.56 and 745,032.56

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Solution

The third proportional to 481,410.56 and 745,032.56 is: 1,153,014.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,410.56 : 745,032.56 = 745,032.56 : x
  2. Step 2: Convert to fraction form
    481,410.56/745,032.56 = 745,032.56/x
  3. Step 3: Cross multiply
    481,410.56x = 745,032.56 × 745,032.56
  4. Step 4: Simplify right side
    481,410.56x = 555,073,519,185.32
  5. Step 5: Solve for x
    x = 555,073,519,185.32/481,410.56
  6. Step 6: Final answer
    x = 1,153,014.83

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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.