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Finding the Third Proportional to 529,659 and 810,384

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Solution

The third proportional to 529,659 and 810,384 is: 1,239,896.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,659 : 810,384 = 810,384 : x
  2. Step 2: Convert to fraction form
    529,659/810,384 = 810,384/x
  3. Step 3: Cross multiply
    529,659x = 810,384 × 810,384
  4. Step 4: Simplify right side
    529,659x = 656,722,227,456
  5. Step 5: Solve for x
    x = 656,722,227,456/529,659
  6. Step 6: Final answer
    x = 1,239,896.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.