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Finding the Third Proportional to 389,619 and 527,980.50

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Solution

The third proportional to 389,619 and 527,980.50 is: 715,476.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,619 : 527,980.50 = 527,980.50 : x
  2. Step 2: Convert to fraction form
    389,619/527,980.50 = 527,980.50/x
  3. Step 3: Cross multiply
    389,619x = 527,980.50 × 527,980.50
  4. Step 4: Simplify right side
    389,619x = 278,763,408,380.25
  5. Step 5: Solve for x
    x = 278,763,408,380.25/389,619
  6. Step 6: Final answer
    x = 715,476.94

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.