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Finding the Third Proportional to 519,579.56 and 827,389.69

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Solution

The third proportional to 519,579.56 and 827,389.69 is: 1,317,553.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,579.56 : 827,389.69 = 827,389.69 : x
  2. Step 2: Convert to fraction form
    519,579.56/827,389.69 = 827,389.69/x
  3. Step 3: Cross multiply
    519,579.56x = 827,389.69 × 827,389.69
  4. Step 4: Simplify right side
    519,579.56x = 684,573,694,981.35
  5. Step 5: Solve for x
    x = 684,573,694,981.35/519,579.56
  6. Step 6: Final answer
    x = 1,317,553.16

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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.