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Finding the Third Proportional to 492,086 and 735,561

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Solution

The third proportional to 492,086 and 735,561 is: 1,099,502.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,086 : 735,561 = 735,561 : x
  2. Step 2: Convert to fraction form
    492,086/735,561 = 735,561/x
  3. Step 3: Cross multiply
    492,086x = 735,561 × 735,561
  4. Step 4: Simplify right side
    492,086x = 541,049,984,721
  5. Step 5: Solve for x
    x = 541,049,984,721/492,086
  6. Step 6: Final answer
    x = 1,099,502.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.