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Finding the Third Proportional to 380,406 and 588,723

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Solution

The third proportional to 380,406 and 588,723 is: 911,118.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,406 : 588,723 = 588,723 : x
  2. Step 2: Convert to fraction form
    380,406/588,723 = 588,723/x
  3. Step 3: Cross multiply
    380,406x = 588,723 × 588,723
  4. Step 4: Simplify right side
    380,406x = 346,594,770,729
  5. Step 5: Solve for x
    x = 346,594,770,729/380,406
  6. Step 6: Final answer
    x = 911,118.04

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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.