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Finding the Third Proportional to 624,206.25 and 1,344,579.75

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Solution

The third proportional to 624,206.25 and 1,344,579.75 is: 2,896,309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,206.25 : 1,344,579.75 = 1,344,579.75 : x
  2. Step 2: Convert to fraction form
    624,206.25/1,344,579.75 = 1,344,579.75/x
  3. Step 3: Cross multiply
    624,206.25x = 1,344,579.75 × 1,344,579.75
  4. Step 4: Simplify right side
    624,206.25x = 1,807,894,704,110.06
  5. Step 5: Solve for x
    x = 1,807,894,704,110.06/624,206.25
  6. Step 6: Final answer
    x = 2,896,309.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.