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Finding the Third Proportional to 288,963 and 444,696.75

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Solution

The third proportional to 288,963 and 444,696.75 is: 684,361.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,963 : 444,696.75 = 444,696.75 : x
  2. Step 2: Convert to fraction form
    288,963/444,696.75 = 444,696.75/x
  3. Step 3: Cross multiply
    288,963x = 444,696.75 × 444,696.75
  4. Step 4: Simplify right side
    288,963x = 197,755,199,460.56
  5. Step 5: Solve for x
    x = 197,755,199,460.56/288,963
  6. Step 6: Final answer
    x = 684,361.66

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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.