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Finding the Third Proportional to 402,474.75 and 544,662.75

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Solution

The third proportional to 402,474.75 and 544,662.75 is: 737,083.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,474.75 : 544,662.75 = 544,662.75 : x
  2. Step 2: Convert to fraction form
    402,474.75/544,662.75 = 544,662.75/x
  3. Step 3: Cross multiply
    402,474.75x = 544,662.75 × 544,662.75
  4. Step 4: Simplify right side
    402,474.75x = 296,657,511,237.56
  5. Step 5: Solve for x
    x = 296,657,511,237.56/402,474.75
  6. Step 6: Final answer
    x = 737,083.53

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.