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Finding the Third Proportional to 206,458 and 452,282

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Solution

The third proportional to 206,458 and 452,282 is: 990,802.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,458 : 452,282 = 452,282 : x
  2. Step 2: Convert to fraction form
    206,458/452,282 = 452,282/x
  3. Step 3: Cross multiply
    206,458x = 452,282 × 452,282
  4. Step 4: Simplify right side
    206,458x = 204,559,007,524
  5. Step 5: Solve for x
    x = 204,559,007,524/206,458
  6. Step 6: Final answer
    x = 990,802.04

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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.