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Finding the Third Proportional to 389,974.50 and 810,567

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Solution

The third proportional to 389,974.50 and 810,567 is: 1,684,773.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,974.50 : 810,567 = 810,567 : x
  2. Step 2: Convert to fraction form
    389,974.50/810,567 = 810,567/x
  3. Step 3: Cross multiply
    389,974.50x = 810,567 × 810,567
  4. Step 4: Simplify right side
    389,974.50x = 657,018,861,489
  5. Step 5: Solve for x
    x = 657,018,861,489/389,974.50
  6. Step 6: Final answer
    x = 1,684,773.91

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