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Finding the Third Proportional to 519,617 and 827,451

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Solution

The third proportional to 519,617 and 827,451 is: 1,317,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,617 : 827,451 = 827,451 : x
  2. Step 2: Convert to fraction form
    519,617/827,451 = 827,451/x
  3. Step 3: Cross multiply
    519,617x = 827,451 × 827,451
  4. Step 4: Simplify right side
    519,617x = 684,675,157,401
  5. Step 5: Solve for x
    x = 684,675,157,401/519,617
  6. Step 6: Final answer
    x = 1,317,653.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.