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Finding the Third Proportional to 290,401.88 and 426,078.56

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Solution

The third proportional to 290,401.88 and 426,078.56 is: 625,143.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,401.88 : 426,078.56 = 426,078.56 : x
  2. Step 2: Convert to fraction form
    290,401.88/426,078.56 = 426,078.56/x
  3. Step 3: Cross multiply
    290,401.88x = 426,078.56 × 426,078.56
  4. Step 4: Simplify right side
    290,401.88x = 181,542,941,422.07
  5. Step 5: Solve for x
    x = 181,542,941,422.07/290,401.88
  6. Step 6: Final answer
    x = 625,143.83

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.