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Finding the Third Proportional to 253,782 and 362,529

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Solution

The third proportional to 253,782 and 362,529 is: 517,874.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,782 : 362,529 = 362,529 : x
  2. Step 2: Convert to fraction form
    253,782/362,529 = 362,529/x
  3. Step 3: Cross multiply
    253,782x = 362,529 × 362,529
  4. Step 4: Simplify right side
    253,782x = 131,427,275,841
  5. Step 5: Solve for x
    x = 131,427,275,841/253,782
  6. Step 6: Final answer
    x = 517,874.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.