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Finding the Third Proportional to 486,512 and 729,040

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Solution

The third proportional to 486,512 and 729,040 is: 1,092,469.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,512 : 729,040 = 729,040 : x
  2. Step 2: Convert to fraction form
    486,512/729,040 = 729,040/x
  3. Step 3: Cross multiply
    486,512x = 729,040 × 729,040
  4. Step 4: Simplify right side
    486,512x = 531,499,321,600
  5. Step 5: Solve for x
    x = 531,499,321,600/486,512
  6. Step 6: Final answer
    x = 1,092,469.09

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