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Finding the Third Proportional to 380,372 and 588,667

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Solution

The third proportional to 380,372 and 588,667 is: 911,026.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,372 : 588,667 = 588,667 : x
  2. Step 2: Convert to fraction form
    380,372/588,667 = 588,667/x
  3. Step 3: Cross multiply
    380,372x = 588,667 × 588,667
  4. Step 4: Simplify right side
    380,372x = 346,528,836,889
  5. Step 5: Solve for x
    x = 346,528,836,889/380,372
  6. Step 6: Final answer
    x = 911,026.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.