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Finding the Third Proportional to 441,738 and 598,932

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Solution

The third proportional to 441,738 and 598,932 is: 812,064.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,738 : 598,932 = 598,932 : x
  2. Step 2: Convert to fraction form
    441,738/598,932 = 598,932/x
  3. Step 3: Cross multiply
    441,738x = 598,932 × 598,932
  4. Step 4: Simplify right side
    441,738x = 358,719,540,624
  5. Step 5: Solve for x
    x = 358,719,540,624/441,738
  6. Step 6: Final answer
    x = 812,064.03

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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.