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Finding the Third Proportional to 318,757 and 693,591

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Solution

The third proportional to 318,757 and 693,591 is: 1,509,201.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,757 : 693,591 = 693,591 : x
  2. Step 2: Convert to fraction form
    318,757/693,591 = 693,591/x
  3. Step 3: Cross multiply
    318,757x = 693,591 × 693,591
  4. Step 4: Simplify right side
    318,757x = 481,068,475,281
  5. Step 5: Solve for x
    x = 481,068,475,281/318,757
  6. Step 6: Final answer
    x = 1,509,201.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.