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Finding the Third Proportional to 395,865 and 933,549.75

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Solution

The third proportional to 395,865 and 933,549.75 is: 2,201,546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,865 : 933,549.75 = 933,549.75 : x
  2. Step 2: Convert to fraction form
    395,865/933,549.75 = 933,549.75/x
  3. Step 3: Cross multiply
    395,865x = 933,549.75 × 933,549.75
  4. Step 4: Simplify right side
    395,865x = 871,515,135,725.06
  5. Step 5: Solve for x
    x = 871,515,135,725.06/395,865
  6. Step 6: Final answer
    x = 2,201,546.32

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.