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Finding the Third Proportional to 524,448 and 796,344

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Solution

The third proportional to 524,448 and 796,344 is: 1,209,202.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,448 : 796,344 = 796,344 : x
  2. Step 2: Convert to fraction form
    524,448/796,344 = 796,344/x
  3. Step 3: Cross multiply
    524,448x = 796,344 × 796,344
  4. Step 4: Simplify right side
    524,448x = 634,163,766,336
  5. Step 5: Solve for x
    x = 634,163,766,336/524,448
  6. Step 6: Final answer
    x = 1,209,202.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.