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Finding the Third Proportional to 207,774 and 454,958.25

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Solution

The third proportional to 207,774 and 454,958.25 is: 996,212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,774 : 454,958.25 = 454,958.25 : x
  2. Step 2: Convert to fraction form
    207,774/454,958.25 = 454,958.25/x
  3. Step 3: Cross multiply
    207,774x = 454,958.25 × 454,958.25
  4. Step 4: Simplify right side
    207,774x = 206,987,009,243.06
  5. Step 5: Solve for x
    x = 206,987,009,243.06/207,774
  6. Step 6: Final answer
    x = 996,212.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.