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Finding the Third Proportional to 213,591 and 454,788.75

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Solution

The third proportional to 213,591 and 454,788.75 is: 968,359.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,591 : 454,788.75 = 454,788.75 : x
  2. Step 2: Convert to fraction form
    213,591/454,788.75 = 454,788.75/x
  3. Step 3: Cross multiply
    213,591x = 454,788.75 × 454,788.75
  4. Step 4: Simplify right side
    213,591x = 206,832,807,126.56
  5. Step 5: Solve for x
    x = 206,832,807,126.56/213,591
  6. Step 6: Final answer
    x = 968,359.19

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Why These Related Problems?

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