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Finding the Third Proportional to 206,958 and 452,664

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Solution

The third proportional to 206,958 and 452,664 is: 990,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,958 : 452,664 = 452,664 : x
  2. Step 2: Convert to fraction form
    206,958/452,664 = 452,664/x
  3. Step 3: Cross multiply
    206,958x = 452,664 × 452,664
  4. Step 4: Simplify right side
    206,958x = 204,904,696,896
  5. Step 5: Solve for x
    x = 204,904,696,896/206,958
  6. Step 6: Final answer
    x = 990,078.65

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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.