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Finding the Third Proportional to 394,878.80 and 595,851.19

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Solution

The third proportional to 394,878.80 and 595,851.19 is: 899,107.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,878.80 : 595,851.19 = 595,851.19 : x
  2. Step 2: Convert to fraction form
    394,878.80/595,851.19 = 595,851.19/x
  3. Step 3: Cross multiply
    394,878.80x = 595,851.19 × 595,851.19
  4. Step 4: Simplify right side
    394,878.80x = 355,038,637,645.16
  5. Step 5: Solve for x
    x = 355,038,637,645.16/394,878.80
  6. Step 6: Final answer
    x = 899,107.88

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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.