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Finding the Third Proportional to 622,883.25 and 960,612.75

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Solution

The third proportional to 622,883.25 and 960,612.75 is: 1,481,460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,883.25 : 960,612.75 = 960,612.75 : x
  2. Step 2: Convert to fraction form
    622,883.25/960,612.75 = 960,612.75/x
  3. Step 3: Cross multiply
    622,883.25x = 960,612.75 × 960,612.75
  4. Step 4: Simplify right side
    622,883.25x = 922,776,855,462.56
  5. Step 5: Solve for x
    x = 922,776,855,462.56/622,883.25
  6. Step 6: Final answer
    x = 1,481,460.38

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.