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Finding the Third Proportional to 370,508 and 770,086

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Solution

The third proportional to 370,508 and 770,086 is: 1,600,592.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,508 : 770,086 = 770,086 : x
  2. Step 2: Convert to fraction form
    370,508/770,086 = 770,086/x
  3. Step 3: Cross multiply
    370,508x = 770,086 × 770,086
  4. Step 4: Simplify right side
    370,508x = 593,032,447,396
  5. Step 5: Solve for x
    x = 593,032,447,396/370,508
  6. Step 6: Final answer
    x = 1,600,592.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.