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Finding the Third Proportional to 201,793 and 424,497

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Solution

The third proportional to 201,793 and 424,497 is: 892,982.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,793 : 424,497 = 424,497 : x
  2. Step 2: Convert to fraction form
    201,793/424,497 = 424,497/x
  3. Step 3: Cross multiply
    201,793x = 424,497 × 424,497
  4. Step 4: Simplify right side
    201,793x = 180,197,703,009
  5. Step 5: Solve for x
    x = 180,197,703,009/201,793
  6. Step 6: Final answer
    x = 892,982.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.