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Finding the Third Proportional to 207,906 and 454,677

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Solution

The third proportional to 207,906 and 454,677 is: 994,349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,906 : 454,677 = 454,677 : x
  2. Step 2: Convert to fraction form
    207,906/454,677 = 454,677/x
  3. Step 3: Cross multiply
    207,906x = 454,677 × 454,677
  4. Step 4: Simplify right side
    207,906x = 206,731,174,329
  5. Step 5: Solve for x
    x = 206,731,174,329/207,906
  6. Step 6: Final answer
    x = 994,349.25

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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.