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Finding the Third Proportional to 253,570.50 and 394,896

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Solution

The third proportional to 253,570.50 and 394,896 is: 614,988.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,570.50 : 394,896 = 394,896 : x
  2. Step 2: Convert to fraction form
    253,570.50/394,896 = 394,896/x
  3. Step 3: Cross multiply
    253,570.50x = 394,896 × 394,896
  4. Step 4: Simplify right side
    253,570.50x = 155,942,850,816
  5. Step 5: Solve for x
    x = 155,942,850,816/253,570.50
  6. Step 6: Final answer
    x = 614,988.14

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.