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Finding the Third Proportional to 253,976.50 and 542,945

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Solution

The third proportional to 253,976.50 and 542,945 is: 1,160,695.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,976.50 : 542,945 = 542,945 : x
  2. Step 2: Convert to fraction form
    253,976.50/542,945 = 542,945/x
  3. Step 3: Cross multiply
    253,976.50x = 542,945 × 542,945
  4. Step 4: Simplify right side
    253,976.50x = 294,789,273,025
  5. Step 5: Solve for x
    x = 294,789,273,025/253,976.50
  6. Step 6: Final answer
    x = 1,160,695.08

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.