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Finding the Third Proportional to 356,586 and 743,052

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Solution

The third proportional to 356,586 and 743,052 is: 1,548,367.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,586 : 743,052 = 743,052 : x
  2. Step 2: Convert to fraction form
    356,586/743,052 = 743,052/x
  3. Step 3: Cross multiply
    356,586x = 743,052 × 743,052
  4. Step 4: Simplify right side
    356,586x = 552,126,274,704
  5. Step 5: Solve for x
    x = 552,126,274,704/356,586
  6. Step 6: Final answer
    x = 1,548,367.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.