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Finding the Third Proportional to 519,416 and 693,588

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Solution

The third proportional to 519,416 and 693,588 is: 926,163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,416 : 693,588 = 693,588 : x
  2. Step 2: Convert to fraction form
    519,416/693,588 = 693,588/x
  3. Step 3: Cross multiply
    519,416x = 693,588 × 693,588
  4. Step 4: Simplify right side
    519,416x = 481,064,313,744
  5. Step 5: Solve for x
    x = 481,064,313,744/519,416
  6. Step 6: Final answer
    x = 926,163.83

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.