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Finding the Third Proportional to 442,251 and 701,408

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Solution

The third proportional to 442,251 and 701,408 is: 1,112,429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,251 : 701,408 = 701,408 : x
  2. Step 2: Convert to fraction form
    442,251/701,408 = 701,408/x
  3. Step 3: Cross multiply
    442,251x = 701,408 × 701,408
  4. Step 4: Simplify right side
    442,251x = 491,973,182,464
  5. Step 5: Solve for x
    x = 491,973,182,464/442,251
  6. Step 6: Final answer
    x = 1,112,429.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.