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Finding the Third Proportional to 254,529 and 502,633

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Solution

The third proportional to 254,529 and 502,633 is: 992,578.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,529 : 502,633 = 502,633 : x
  2. Step 2: Convert to fraction form
    254,529/502,633 = 502,633/x
  3. Step 3: Cross multiply
    254,529x = 502,633 × 502,633
  4. Step 4: Simplify right side
    254,529x = 252,639,932,689
  5. Step 5: Solve for x
    x = 252,639,932,689/254,529
  6. Step 6: Final answer
    x = 992,578.18

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.