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Finding the Third Proportional to 337,008 and 683,736

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Solution

The third proportional to 337,008 and 683,736 is: 1,387,192.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,008 : 683,736 = 683,736 : x
  2. Step 2: Convert to fraction form
    337,008/683,736 = 683,736/x
  3. Step 3: Cross multiply
    337,008x = 683,736 × 683,736
  4. Step 4: Simplify right side
    337,008x = 467,494,917,696
  5. Step 5: Solve for x
    x = 467,494,917,696/337,008
  6. Step 6: Final answer
    x = 1,387,192.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.