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Finding the Third Proportional to 283,408 and 598,806

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Solution

The third proportional to 283,408 and 598,806 is: 1,265,202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,408 : 598,806 = 598,806 : x
  2. Step 2: Convert to fraction form
    283,408/598,806 = 598,806/x
  3. Step 3: Cross multiply
    283,408x = 598,806 × 598,806
  4. Step 4: Simplify right side
    283,408x = 358,568,625,636
  5. Step 5: Solve for x
    x = 358,568,625,636/283,408
  6. Step 6: Final answer
    x = 1,265,202.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.