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Finding the Third Proportional to 397,012.50 and 614,900.75

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Solution

The third proportional to 397,012.50 and 614,900.75 is: 952,370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,012.50 : 614,900.75 = 614,900.75 : x
  2. Step 2: Convert to fraction form
    397,012.50/614,900.75 = 614,900.75/x
  3. Step 3: Cross multiply
    397,012.50x = 614,900.75 × 614,900.75
  4. Step 4: Simplify right side
    397,012.50x = 378,102,932,350.56
  5. Step 5: Solve for x
    x = 378,102,932,350.56/397,012.50
  6. Step 6: Final answer
    x = 952,370.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.