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Finding the Third Proportional to 395,884.13 and 933,616.13

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Solution

The third proportional to 395,884.13 and 933,616.13 is: 2,201,753.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,884.13 : 933,616.13 = 933,616.13 : x
  2. Step 2: Convert to fraction form
    395,884.13/933,616.13 = 933,616.13/x
  3. Step 3: Cross multiply
    395,884.13x = 933,616.13 × 933,616.13
  4. Step 4: Simplify right side
    395,884.13x = 871,639,068,860.02
  5. Step 5: Solve for x
    x = 871,639,068,860.02/395,884.13
  6. Step 6: Final answer
    x = 2,201,753.02

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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.