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Finding the Third Proportional to 305,208 and 443,934

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Solution

The third proportional to 305,208 and 443,934 is: 645,715.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,208 : 443,934 = 443,934 : x
  2. Step 2: Convert to fraction form
    305,208/443,934 = 443,934/x
  3. Step 3: Cross multiply
    305,208x = 443,934 × 443,934
  4. Step 4: Simplify right side
    305,208x = 197,077,396,356
  5. Step 5: Solve for x
    x = 197,077,396,356/305,208
  6. Step 6: Final answer
    x = 645,715.04

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.