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Finding the Third Proportional to 519,785 and 777,561

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Solution

The third proportional to 519,785 and 777,561 is: 1,163,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,785 : 777,561 = 777,561 : x
  2. Step 2: Convert to fraction form
    519,785/777,561 = 777,561/x
  3. Step 3: Cross multiply
    519,785x = 777,561 × 777,561
  4. Step 4: Simplify right side
    519,785x = 604,601,108,721
  5. Step 5: Solve for x
    x = 604,601,108,721/519,785
  6. Step 6: Final answer
    x = 1,163,175.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.