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Finding the Third Proportional to 334,919 and 454,795

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Solution

The third proportional to 334,919 and 454,795 is: 617,577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,919 : 454,795 = 454,795 : x
  2. Step 2: Convert to fraction form
    334,919/454,795 = 454,795/x
  3. Step 3: Cross multiply
    334,919x = 454,795 × 454,795
  4. Step 4: Simplify right side
    334,919x = 206,838,492,025
  5. Step 5: Solve for x
    x = 206,838,492,025/334,919
  6. Step 6: Final answer
    x = 617,577.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.