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Finding the Third Proportional to 213,589.13 and 454,785.75

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Solution

The third proportional to 213,589.13 and 454,785.75 is: 968,354.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,589.13 : 454,785.75 = 454,785.75 : x
  2. Step 2: Convert to fraction form
    213,589.13/454,785.75 = 454,785.75/x
  3. Step 3: Cross multiply
    213,589.13x = 454,785.75 × 454,785.75
  4. Step 4: Simplify right side
    213,589.13x = 206,830,078,403.06
  5. Step 5: Solve for x
    x = 206,830,078,403.06/213,589.13
  6. Step 6: Final answer
    x = 968,354.91

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.