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Finding the Third Proportional to 405,810 and 544,380.75

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Solution

The third proportional to 405,810 and 544,380.75 is: 730,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,810 : 544,380.75 = 544,380.75 : x
  2. Step 2: Convert to fraction form
    405,810/544,380.75 = 544,380.75/x
  3. Step 3: Cross multiply
    405,810x = 544,380.75 × 544,380.75
  4. Step 4: Simplify right side
    405,810x = 296,350,400,970.56
  5. Step 5: Solve for x
    x = 296,350,400,970.56/405,810
  6. Step 6: Final answer
    x = 730,268.85

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.