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Finding the Third Proportional to 319,877 and 679,114

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Solution

The third proportional to 319,877 and 679,114 is: 1,441,791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,877 : 679,114 = 679,114 : x
  2. Step 2: Convert to fraction form
    319,877/679,114 = 679,114/x
  3. Step 3: Cross multiply
    319,877x = 679,114 × 679,114
  4. Step 4: Simplify right side
    319,877x = 461,195,824,996
  5. Step 5: Solve for x
    x = 461,195,824,996/319,877
  6. Step 6: Final answer
    x = 1,441,791.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.