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Finding the Third Proportional to 308,873 and 676,795

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Solution

The third proportional to 308,873 and 676,795 is: 1,482,976.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,873 : 676,795 = 676,795 : x
  2. Step 2: Convert to fraction form
    308,873/676,795 = 676,795/x
  3. Step 3: Cross multiply
    308,873x = 676,795 × 676,795
  4. Step 4: Simplify right side
    308,873x = 458,051,472,025
  5. Step 5: Solve for x
    x = 458,051,472,025/308,873
  6. Step 6: Final answer
    x = 1,482,976.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.