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Finding the Third Proportional to 397,152.75 and 606,120.75

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Solution

The third proportional to 397,152.75 and 606,120.75 is: 925,040.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,152.75 : 606,120.75 = 606,120.75 : x
  2. Step 2: Convert to fraction form
    397,152.75/606,120.75 = 606,120.75/x
  3. Step 3: Cross multiply
    397,152.75x = 606,120.75 × 606,120.75
  4. Step 4: Simplify right side
    397,152.75x = 367,382,363,580.56
  5. Step 5: Solve for x
    x = 367,382,363,580.56/397,152.75
  6. Step 6: Final answer
    x = 925,040.46

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.