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Finding the Third Proportional to 284,857 and 440,931

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Solution

The third proportional to 284,857 and 440,931 is: 682,518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,857 : 440,931 = 440,931 : x
  2. Step 2: Convert to fraction form
    284,857/440,931 = 440,931/x
  3. Step 3: Cross multiply
    284,857x = 440,931 × 440,931
  4. Step 4: Simplify right side
    284,857x = 194,420,146,761
  5. Step 5: Solve for x
    x = 194,420,146,761/284,857
  6. Step 6: Final answer
    x = 682,518.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.