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Finding the Third Proportional to 334,401 and 505,167

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Solution

The third proportional to 334,401 and 505,167 is: 763,136.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,401 : 505,167 = 505,167 : x
  2. Step 2: Convert to fraction form
    334,401/505,167 = 505,167/x
  3. Step 3: Cross multiply
    334,401x = 505,167 × 505,167
  4. Step 4: Simplify right side
    334,401x = 255,193,697,889
  5. Step 5: Solve for x
    x = 255,193,697,889/334,401
  6. Step 6: Final answer
    x = 763,136.77

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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.