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Finding the Third Proportional to 261,945.56 and 400,435.31

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Solution

The third proportional to 261,945.56 and 400,435.31 is: 612,144.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,945.56 : 400,435.31 = 400,435.31 : x
  2. Step 2: Convert to fraction form
    261,945.56/400,435.31 = 400,435.31/x
  3. Step 3: Cross multiply
    261,945.56x = 400,435.31 × 400,435.31
  4. Step 4: Simplify right side
    261,945.56x = 160,348,439,496.97
  5. Step 5: Solve for x
    x = 160,348,439,496.97/261,945.56
  6. Step 6: Final answer
    x = 612,144.13

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.