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Finding the Third Proportional to 494,164.13 and 747,474.75

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Solution

The third proportional to 494,164.13 and 747,474.75 is: 1,130,633.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,164.13 : 747,474.75 = 747,474.75 : x
  2. Step 2: Convert to fraction form
    494,164.13/747,474.75 = 747,474.75/x
  3. Step 3: Cross multiply
    494,164.13x = 747,474.75 × 747,474.75
  4. Step 4: Simplify right side
    494,164.13x = 558,718,501,887.56
  5. Step 5: Solve for x
    x = 558,718,501,887.56/494,164.13
  6. Step 6: Final answer
    x = 1,130,633.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.