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Finding the Third Proportional to 399,870 and 603,936

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Solution

The third proportional to 399,870 and 603,936 is: 912,143.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,870 : 603,936 = 603,936 : x
  2. Step 2: Convert to fraction form
    399,870/603,936 = 603,936/x
  3. Step 3: Cross multiply
    399,870x = 603,936 × 603,936
  4. Step 4: Simplify right side
    399,870x = 364,738,692,096
  5. Step 5: Solve for x
    x = 364,738,692,096/399,870
  6. Step 6: Final answer
    x = 912,143.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.