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Finding the Third Proportional to 213,607.50 and 454,825.50

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Solution

The third proportional to 213,607.50 and 454,825.50 is: 968,440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,607.50 : 454,825.50 = 454,825.50 : x
  2. Step 2: Convert to fraction form
    213,607.50/454,825.50 = 454,825.50/x
  3. Step 3: Cross multiply
    213,607.50x = 454,825.50 × 454,825.50
  4. Step 4: Simplify right side
    213,607.50x = 206,866,235,450.25
  5. Step 5: Solve for x
    x = 206,866,235,450.25/213,607.50
  6. Step 6: Final answer
    x = 968,440.88

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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.