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Finding the Third Proportional to 315,114.75 and 413,622

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Solution

The third proportional to 315,114.75 and 413,622 is: 542,923.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,114.75 : 413,622 = 413,622 : x
  2. Step 2: Convert to fraction form
    315,114.75/413,622 = 413,622/x
  3. Step 3: Cross multiply
    315,114.75x = 413,622 × 413,622
  4. Step 4: Simplify right side
    315,114.75x = 171,083,158,884
  5. Step 5: Solve for x
    x = 171,083,158,884/315,114.75
  6. Step 6: Final answer
    x = 542,923.36

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.