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Finding the Third Proportional to 321,684 and 679,656

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Solution

The third proportional to 321,684 and 679,656 is: 1,435,981.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,684 : 679,656 = 679,656 : x
  2. Step 2: Convert to fraction form
    321,684/679,656 = 679,656/x
  3. Step 3: Cross multiply
    321,684x = 679,656 × 679,656
  4. Step 4: Simplify right side
    321,684x = 461,932,278,336
  5. Step 5: Solve for x
    x = 461,932,278,336/321,684
  6. Step 6: Final answer
    x = 1,435,981.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.