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Finding the Third Proportional to 441,736 and 598,930

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Solution

The third proportional to 441,736 and 598,930 is: 812,062.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,736 : 598,930 = 598,930 : x
  2. Step 2: Convert to fraction form
    441,736/598,930 = 598,930/x
  3. Step 3: Cross multiply
    441,736x = 598,930 × 598,930
  4. Step 4: Simplify right side
    441,736x = 358,717,144,900
  5. Step 5: Solve for x
    x = 358,717,144,900/441,736
  6. Step 6: Final answer
    x = 812,062.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.