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Finding the Third Proportional to 284,880 and 614,892

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Solution

The third proportional to 284,880 and 614,892 is: 1,327,198.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,880 : 614,892 = 614,892 : x
  2. Step 2: Convert to fraction form
    284,880/614,892 = 614,892/x
  3. Step 3: Cross multiply
    284,880x = 614,892 × 614,892
  4. Step 4: Simplify right side
    284,880x = 378,092,171,664
  5. Step 5: Solve for x
    x = 378,092,171,664/284,880
  6. Step 6: Final answer
    x = 1,327,198.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.