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Finding the Third Proportional to 194,589 and 403,758

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Solution

The third proportional to 194,589 and 403,758 is: 837,768.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,589 : 403,758 = 403,758 : x
  2. Step 2: Convert to fraction form
    194,589/403,758 = 403,758/x
  3. Step 3: Cross multiply
    194,589x = 403,758 × 403,758
  4. Step 4: Simplify right side
    194,589x = 163,020,522,564
  5. Step 5: Solve for x
    x = 163,020,522,564/194,589
  6. Step 6: Final answer
    x = 837,768.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.