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Finding the Third Proportional to 290,040.75 and 628,472.25

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Solution

The third proportional to 290,040.75 and 628,472.25 is: 1,361,799.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,040.75 : 628,472.25 = 628,472.25 : x
  2. Step 2: Convert to fraction form
    290,040.75/628,472.25 = 628,472.25/x
  3. Step 3: Cross multiply
    290,040.75x = 628,472.25 × 628,472.25
  4. Step 4: Simplify right side
    290,040.75x = 394,977,369,020.06
  5. Step 5: Solve for x
    x = 394,977,369,020.06/290,040.75
  6. Step 6: Final answer
    x = 1,361,799.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.