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Finding the Third Proportional to 383,340 and 588,408

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Solution

The third proportional to 383,340 and 588,408 is: 903,177.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,340 : 588,408 = 588,408 : x
  2. Step 2: Convert to fraction form
    383,340/588,408 = 588,408/x
  3. Step 3: Cross multiply
    383,340x = 588,408 × 588,408
  4. Step 4: Simplify right side
    383,340x = 346,223,974,464
  5. Step 5: Solve for x
    x = 346,223,974,464/383,340
  6. Step 6: Final answer
    x = 903,177.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.