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Finding the Third Proportional to 310,625.44 and 679,408.88

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Solution

The third proportional to 310,625.44 and 679,408.88 is: 1,486,022.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,625.44 : 679,408.88 = 679,408.88 : x
  2. Step 2: Convert to fraction form
    310,625.44/679,408.88 = 679,408.88/x
  3. Step 3: Cross multiply
    310,625.44x = 679,408.88 × 679,408.88
  4. Step 4: Simplify right side
    310,625.44x = 461,596,419,428.77
  5. Step 5: Solve for x
    x = 461,596,419,428.77/310,625.44
  6. Step 6: Final answer
    x = 1,486,022.60

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.