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Finding the Third Proportional to 313,906 and 679,966

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Solution

The third proportional to 313,906 and 679,966 is: 1,472,905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,906 : 679,966 = 679,966 : x
  2. Step 2: Convert to fraction form
    313,906/679,966 = 679,966/x
  3. Step 3: Cross multiply
    313,906x = 679,966 × 679,966
  4. Step 4: Simplify right side
    313,906x = 462,353,761,156
  5. Step 5: Solve for x
    x = 462,353,761,156/313,906
  6. Step 6: Final answer
    x = 1,472,905.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.