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Finding the Third Proportional to 271,408 and 597,920

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Solution

The third proportional to 271,408 and 597,920 is: 1,317,235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,408 : 597,920 = 597,920 : x
  2. Step 2: Convert to fraction form
    271,408/597,920 = 597,920/x
  3. Step 3: Cross multiply
    271,408x = 597,920 × 597,920
  4. Step 4: Simplify right side
    271,408x = 357,508,326,400
  5. Step 5: Solve for x
    x = 357,508,326,400/271,408
  6. Step 6: Final answer
    x = 1,317,235.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.