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Finding the Third Proportional to 207,365 and 454,906

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Solution

The third proportional to 207,365 and 454,906 is: 997,947.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,365 : 454,906 = 454,906 : x
  2. Step 2: Convert to fraction form
    207,365/454,906 = 454,906/x
  3. Step 3: Cross multiply
    207,365x = 454,906 × 454,906
  4. Step 4: Simplify right side
    207,365x = 206,939,468,836
  5. Step 5: Solve for x
    x = 206,939,468,836/207,365
  6. Step 6: Final answer
    x = 997,947.91

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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.