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Finding the Third Proportional to 416,712.94 and 622,325.53

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Solution

The third proportional to 416,712.94 and 622,325.53 is: 929,390.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,712.94 : 622,325.53 = 622,325.53 : x
  2. Step 2: Convert to fraction form
    416,712.94/622,325.53 = 622,325.53/x
  3. Step 3: Cross multiply
    416,712.94x = 622,325.53 × 622,325.53
  4. Step 4: Simplify right side
    416,712.94x = 387,289,066,845.60
  5. Step 5: Solve for x
    x = 387,289,066,845.60/416,712.94
  6. Step 6: Final answer
    x = 929,390.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.