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Finding the Third Proportional to 265,596 and 399,408

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Solution

The third proportional to 265,596 and 399,408 is: 600,636.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,596 : 399,408 = 399,408 : x
  2. Step 2: Convert to fraction form
    265,596/399,408 = 399,408/x
  3. Step 3: Cross multiply
    265,596x = 399,408 × 399,408
  4. Step 4: Simplify right side
    265,596x = 159,526,750,464
  5. Step 5: Solve for x
    x = 159,526,750,464/265,596
  6. Step 6: Final answer
    x = 600,636.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.