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Finding the Third Proportional to 380,396 and 588,711

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Solution

The third proportional to 380,396 and 588,711 is: 911,104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,396 : 588,711 = 588,711 : x
  2. Step 2: Convert to fraction form
    380,396/588,711 = 588,711/x
  3. Step 3: Cross multiply
    380,396x = 588,711 × 588,711
  4. Step 4: Simplify right side
    380,396x = 346,580,641,521
  5. Step 5: Solve for x
    x = 346,580,641,521/380,396
  6. Step 6: Final answer
    x = 911,104.85

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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.