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Finding the Third Proportional to 206,564 and 437,942

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Solution

The third proportional to 206,564 and 437,942 is: 928,492.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,564 : 437,942 = 437,942 : x
  2. Step 2: Convert to fraction form
    206,564/437,942 = 437,942/x
  3. Step 3: Cross multiply
    206,564x = 437,942 × 437,942
  4. Step 4: Simplify right side
    206,564x = 191,793,195,364
  5. Step 5: Solve for x
    x = 191,793,195,364/206,564
  6. Step 6: Final answer
    x = 928,492.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.