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Finding the Third Proportional to 308,869 and 676,786

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Solution

The third proportional to 308,869 and 676,786 is: 1,482,956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,869 : 676,786 = 676,786 : x
  2. Step 2: Convert to fraction form
    308,869/676,786 = 676,786/x
  3. Step 3: Cross multiply
    308,869x = 676,786 × 676,786
  4. Step 4: Simplify right side
    308,869x = 458,039,289,796
  5. Step 5: Solve for x
    x = 458,039,289,796/308,869
  6. Step 6: Final answer
    x = 1,482,956.50

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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.