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Finding the Third Proportional to 307,794 and 463,719

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Solution

The third proportional to 307,794 and 463,719 is: 698,633.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,794 : 463,719 = 463,719 : x
  2. Step 2: Convert to fraction form
    307,794/463,719 = 463,719/x
  3. Step 3: Cross multiply
    307,794x = 463,719 × 463,719
  4. Step 4: Simplify right side
    307,794x = 215,035,310,961
  5. Step 5: Solve for x
    x = 215,035,310,961/307,794
  6. Step 6: Final answer
    x = 698,633.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.