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Finding the Third Proportional to 253,087.31 and 550,461.38

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Solution

The third proportional to 253,087.31 and 550,461.38 is: 1,197,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,087.31 : 550,461.38 = 550,461.38 : x
  2. Step 2: Convert to fraction form
    253,087.31/550,461.38 = 550,461.38/x
  3. Step 3: Cross multiply
    253,087.31x = 550,461.38 × 550,461.38
  4. Step 4: Simplify right side
    253,087.31x = 303,007,725,366.89
  5. Step 5: Solve for x
    x = 303,007,725,366.89/253,087.31
  6. Step 6: Final answer
    x = 1,197,245.81

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