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Finding the Third Proportional to 399,156 and 853,656

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Solution

The third proportional to 399,156 and 853,656 is: 1,825,673.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,156 : 853,656 = 853,656 : x
  2. Step 2: Convert to fraction form
    399,156/853,656 = 853,656/x
  3. Step 3: Cross multiply
    399,156x = 853,656 × 853,656
  4. Step 4: Simplify right side
    399,156x = 728,728,566,336
  5. Step 5: Solve for x
    x = 728,728,566,336/399,156
  6. Step 6: Final answer
    x = 1,825,673.59

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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.