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Finding the Third Proportional to 256,602 and 369,626

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Solution

The third proportional to 256,602 and 369,626 is: 532,433.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,602 : 369,626 = 369,626 : x
  2. Step 2: Convert to fraction form
    256,602/369,626 = 369,626/x
  3. Step 3: Cross multiply
    256,602x = 369,626 × 369,626
  4. Step 4: Simplify right side
    256,602x = 136,623,379,876
  5. Step 5: Solve for x
    x = 136,623,379,876/256,602
  6. Step 6: Final answer
    x = 532,433.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.