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Finding the Third Proportional to 380,165 and 588,584

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Solution

The third proportional to 380,165 and 588,584 is: 911,265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,165 : 588,584 = 588,584 : x
  2. Step 2: Convert to fraction form
    380,165/588,584 = 588,584/x
  3. Step 3: Cross multiply
    380,165x = 588,584 × 588,584
  4. Step 4: Simplify right side
    380,165x = 346,431,125,056
  5. Step 5: Solve for x
    x = 346,431,125,056/380,165
  6. Step 6: Final answer
    x = 911,265.17

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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.