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Finding the Third Proportional to 213,414.75 and 494,079.75

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Solution

The third proportional to 213,414.75 and 494,079.75 is: 1,143,851.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,414.75 : 494,079.75 = 494,079.75 : x
  2. Step 2: Convert to fraction form
    213,414.75/494,079.75 = 494,079.75/x
  3. Step 3: Cross multiply
    213,414.75x = 494,079.75 × 494,079.75
  4. Step 4: Simplify right side
    213,414.75x = 244,114,799,360.06
  5. Step 5: Solve for x
    x = 244,114,799,360.06/213,414.75
  6. Step 6: Final answer
    x = 1,143,851.58

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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.