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Finding the Third Proportional to 373,037 and 816,058

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Solution

The third proportional to 373,037 and 816,058 is: 1,785,213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,037 : 816,058 = 816,058 : x
  2. Step 2: Convert to fraction form
    373,037/816,058 = 816,058/x
  3. Step 3: Cross multiply
    373,037x = 816,058 × 816,058
  4. Step 4: Simplify right side
    373,037x = 665,950,659,364
  5. Step 5: Solve for x
    x = 665,950,659,364/373,037
  6. Step 6: Final answer
    x = 1,785,213.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.