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Finding the Third Proportional to 524,254 and 796,109

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Solution

The third proportional to 524,254 and 796,109 is: 1,208,936.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,254 : 796,109 = 796,109 : x
  2. Step 2: Convert to fraction form
    524,254/796,109 = 796,109/x
  3. Step 3: Cross multiply
    524,254x = 796,109 × 796,109
  4. Step 4: Simplify right side
    524,254x = 633,789,539,881
  5. Step 5: Solve for x
    x = 633,789,539,881/524,254
  6. Step 6: Final answer
    x = 1,208,936.01

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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.