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Finding the Third Proportional to 393,711.75 and 627,954.75

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Solution

The third proportional to 393,711.75 and 627,954.75 is: 1,001,563.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,711.75 : 627,954.75 = 627,954.75 : x
  2. Step 2: Convert to fraction form
    393,711.75/627,954.75 = 627,954.75/x
  3. Step 3: Cross multiply
    393,711.75x = 627,954.75 × 627,954.75
  4. Step 4: Simplify right side
    393,711.75x = 394,327,168,047.56
  5. Step 5: Solve for x
    x = 394,327,168,047.56/393,711.75
  6. Step 6: Final answer
    x = 1,001,563.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.