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Finding the Third Proportional to 313,647 and 679,134

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Solution

The third proportional to 313,647 and 679,134 is: 1,470,516.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,647 : 679,134 = 679,134 : x
  2. Step 2: Convert to fraction form
    313,647/679,134 = 679,134/x
  3. Step 3: Cross multiply
    313,647x = 679,134 × 679,134
  4. Step 4: Simplify right side
    313,647x = 461,222,989,956
  5. Step 5: Solve for x
    x = 461,222,989,956/313,647
  6. Step 6: Final answer
    x = 1,470,516.19

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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.