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Finding the Third Proportional to 308,877 and 676,803

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Solution

The third proportional to 308,877 and 676,803 is: 1,482,992.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,877 : 676,803 = 676,803 : x
  2. Step 2: Convert to fraction form
    308,877/676,803 = 676,803/x
  3. Step 3: Cross multiply
    308,877x = 676,803 × 676,803
  4. Step 4: Simplify right side
    308,877x = 458,062,300,809
  5. Step 5: Solve for x
    x = 458,062,300,809/308,877
  6. Step 6: Final answer
    x = 1,482,992.59

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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.