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Finding the Third Proportional to 399,680 and 856,208

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Solution

The third proportional to 399,680 and 856,208 is: 1,834,197.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,680 : 856,208 = 856,208 : x
  2. Step 2: Convert to fraction form
    399,680/856,208 = 856,208/x
  3. Step 3: Cross multiply
    399,680x = 856,208 × 856,208
  4. Step 4: Simplify right side
    399,680x = 733,092,139,264
  5. Step 5: Solve for x
    x = 733,092,139,264/399,680
  6. Step 6: Final answer
    x = 1,834,197.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.