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Finding the Third Proportional to 714,773.75 and 1,111,369.25

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Solution

The third proportional to 714,773.75 and 1,111,369.25 is: 1,728,017.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,773.75 : 1,111,369.25 = 1,111,369.25 : x
  2. Step 2: Convert to fraction form
    714,773.75/1,111,369.25 = 1,111,369.25/x
  3. Step 3: Cross multiply
    714,773.75x = 1,111,369.25 × 1,111,369.25
  4. Step 4: Simplify right side
    714,773.75x = 1,235,141,609,845.56
  5. Step 5: Solve for x
    x = 1,235,141,609,845.56/714,773.75
  6. Step 6: Final answer
    x = 1,728,017.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.