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Finding the Third Proportional to 383,376 and 588,460

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Solution

The third proportional to 383,376 and 588,460 is: 903,252.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,376 : 588,460 = 588,460 : x
  2. Step 2: Convert to fraction form
    383,376/588,460 = 588,460/x
  3. Step 3: Cross multiply
    383,376x = 588,460 × 588,460
  4. Step 4: Simplify right side
    383,376x = 346,285,171,600
  5. Step 5: Solve for x
    x = 346,285,171,600/383,376
  6. Step 6: Final answer
    x = 903,252.09

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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.