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Finding the Third Proportional to 252,892 and 583,954

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Solution

The third proportional to 252,892 and 583,954 is: 1,348,410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,892 : 583,954 = 583,954 : x
  2. Step 2: Convert to fraction form
    252,892/583,954 = 583,954/x
  3. Step 3: Cross multiply
    252,892x = 583,954 × 583,954
  4. Step 4: Simplify right side
    252,892x = 341,002,274,116
  5. Step 5: Solve for x
    x = 341,002,274,116/252,892
  6. Step 6: Final answer
    x = 1,348,410.68

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.