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Finding the Third Proportional to 124,635 and 270,408

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Solution

The third proportional to 124,635 and 270,408 is: 586,676.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,635 : 270,408 = 270,408 : x
  2. Step 2: Convert to fraction form
    124,635/270,408 = 270,408/x
  3. Step 3: Cross multiply
    124,635x = 270,408 × 270,408
  4. Step 4: Simplify right side
    124,635x = 73,120,486,464
  5. Step 5: Solve for x
    x = 73,120,486,464/124,635
  6. Step 6: Final answer
    x = 586,676.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.