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Finding the Third Proportional to 383,378 and 588,463

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Solution

The third proportional to 383,378 and 588,463 is: 903,256.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,378 : 588,463 = 588,463 : x
  2. Step 2: Convert to fraction form
    383,378/588,463 = 588,463/x
  3. Step 3: Cross multiply
    383,378x = 588,463 × 588,463
  4. Step 4: Simplify right side
    383,378x = 346,288,702,369
  5. Step 5: Solve for x
    x = 346,288,702,369/383,378
  6. Step 6: Final answer
    x = 903,256.58

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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.