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Finding the Third Proportional to 486,372 and 727,606

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Solution

The third proportional to 486,372 and 727,606 is: 1,088,488.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,372 : 727,606 = 727,606 : x
  2. Step 2: Convert to fraction form
    486,372/727,606 = 727,606/x
  3. Step 3: Cross multiply
    486,372x = 727,606 × 727,606
  4. Step 4: Simplify right side
    486,372x = 529,410,491,236
  5. Step 5: Solve for x
    x = 529,410,491,236/486,372
  6. Step 6: Final answer
    x = 1,088,488.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.