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Finding the Third Proportional to 334,206 and 695,951

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Solution

The third proportional to 334,206 and 695,951 is: 1,449,249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,206 : 695,951 = 695,951 : x
  2. Step 2: Convert to fraction form
    334,206/695,951 = 695,951/x
  3. Step 3: Cross multiply
    334,206x = 695,951 × 695,951
  4. Step 4: Simplify right side
    334,206x = 484,347,794,401
  5. Step 5: Solve for x
    x = 484,347,794,401/334,206
  6. Step 6: Final answer
    x = 1,449,249.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.