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Finding the Third Proportional to 519,774 and 777,540

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Solution

The third proportional to 519,774 and 777,540 is: 1,163,137.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,774 : 777,540 = 777,540 : x
  2. Step 2: Convert to fraction form
    519,774/777,540 = 777,540/x
  3. Step 3: Cross multiply
    519,774x = 777,540 × 777,540
  4. Step 4: Simplify right side
    519,774x = 604,568,451,600
  5. Step 5: Solve for x
    x = 604,568,451,600/519,774
  6. Step 6: Final answer
    x = 1,163,137.15

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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.