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Finding the Third Proportional to 481,935.50 and 748,642

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Solution

The third proportional to 481,935.50 and 748,642 is: 1,162,945.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,935.50 : 748,642 = 748,642 : x
  2. Step 2: Convert to fraction form
    481,935.50/748,642 = 748,642/x
  3. Step 3: Cross multiply
    481,935.50x = 748,642 × 748,642
  4. Step 4: Simplify right side
    481,935.50x = 560,464,844,164
  5. Step 5: Solve for x
    x = 560,464,844,164/481,935.50
  6. Step 6: Final answer
    x = 1,162,945.76

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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.