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Finding the Third Proportional to 399,256 and 600,504

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Solution

The third proportional to 399,256 and 600,504 is: 903,192.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,256 : 600,504 = 600,504 : x
  2. Step 2: Convert to fraction form
    399,256/600,504 = 600,504/x
  3. Step 3: Cross multiply
    399,256x = 600,504 × 600,504
  4. Step 4: Simplify right side
    399,256x = 360,605,054,016
  5. Step 5: Solve for x
    x = 360,605,054,016/399,256
  6. Step 6: Final answer
    x = 903,192.57

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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.