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Finding the Third Proportional to 363,170 and 769,594

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Solution

The third proportional to 363,170 and 769,594 is: 1,630,847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,170 : 769,594 = 769,594 : x
  2. Step 2: Convert to fraction form
    363,170/769,594 = 769,594/x
  3. Step 3: Cross multiply
    363,170x = 769,594 × 769,594
  4. Step 4: Simplify right side
    363,170x = 592,274,924,836
  5. Step 5: Solve for x
    x = 592,274,924,836/363,170
  6. Step 6: Final answer
    x = 1,630,847.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.