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Finding the Third Proportional to 519,624 and 827,457

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Solution

The third proportional to 519,624 and 827,457 is: 1,317,654.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,624 : 827,457 = 827,457 : x
  2. Step 2: Convert to fraction form
    519,624/827,457 = 827,457/x
  3. Step 3: Cross multiply
    519,624x = 827,457 × 827,457
  4. Step 4: Simplify right side
    519,624x = 684,685,086,849
  5. Step 5: Solve for x
    x = 684,685,086,849/519,624
  6. Step 6: Final answer
    x = 1,317,654.86

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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.