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Finding the Third Proportional to 320,504 and 683,906

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Solution

The third proportional to 320,504 and 683,906 is: 1,459,349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,504 : 683,906 = 683,906 : x
  2. Step 2: Convert to fraction form
    320,504/683,906 = 683,906/x
  3. Step 3: Cross multiply
    320,504x = 683,906 × 683,906
  4. Step 4: Simplify right side
    320,504x = 467,727,416,836
  5. Step 5: Solve for x
    x = 467,727,416,836/320,504
  6. Step 6: Final answer
    x = 1,459,349.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.