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Finding the Third Proportional to 530,977 and 796,314

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Solution

The third proportional to 530,977 and 796,314 is: 1,194,243.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,977 : 796,314 = 796,314 : x
  2. Step 2: Convert to fraction form
    530,977/796,314 = 796,314/x
  3. Step 3: Cross multiply
    530,977x = 796,314 × 796,314
  4. Step 4: Simplify right side
    530,977x = 634,115,986,596
  5. Step 5: Solve for x
    x = 634,115,986,596/530,977
  6. Step 6: Final answer
    x = 1,194,243.79

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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.