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Finding the Third Proportional to 383,342 and 588,411

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Solution

The third proportional to 383,342 and 588,411 is: 903,181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,342 : 588,411 = 588,411 : x
  2. Step 2: Convert to fraction form
    383,342/588,411 = 588,411/x
  3. Step 3: Cross multiply
    383,342x = 588,411 × 588,411
  4. Step 4: Simplify right side
    383,342x = 346,227,504,921
  5. Step 5: Solve for x
    x = 346,227,504,921/383,342
  6. Step 6: Final answer
    x = 903,181.77

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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.