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Finding the Third Proportional to 481,331.50 and 748,322.75

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Solution

The third proportional to 481,331.50 and 748,322.75 is: 1,163,412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,331.50 : 748,322.75 = 748,322.75 : x
  2. Step 2: Convert to fraction form
    481,331.50/748,322.75 = 748,322.75/x
  3. Step 3: Cross multiply
    481,331.50x = 748,322.75 × 748,322.75
  4. Step 4: Simplify right side
    481,331.50x = 559,986,938,167.56
  5. Step 5: Solve for x
    x = 559,986,938,167.56/481,331.50
  6. Step 6: Final answer
    x = 1,163,412.20

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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.