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Finding the Third Proportional to 193,139.44 and 447,480.70

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Solution

The third proportional to 193,139.44 and 447,480.70 is: 1,036,758.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,139.44 : 447,480.70 = 447,480.70 : x
  2. Step 2: Convert to fraction form
    193,139.44/447,480.70 = 447,480.70/x
  3. Step 3: Cross multiply
    193,139.44x = 447,480.70 × 447,480.70
  4. Step 4: Simplify right side
    193,139.44x = 200,238,979,669.24
  5. Step 5: Solve for x
    x = 200,238,979,669.24/193,139.44
  6. Step 6: Final answer
    x = 1,036,758.64

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.