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Finding the Third Proportional to 395,862.75 and 933,544.13

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Solution

The third proportional to 395,862.75 and 933,544.13 is: 2,201,532.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,862.75 : 933,544.13 = 933,544.13 : x
  2. Step 2: Convert to fraction form
    395,862.75/933,544.13 = 933,544.13/x
  3. Step 3: Cross multiply
    395,862.75x = 933,544.13 × 933,544.13
  4. Step 4: Simplify right side
    395,862.75x = 871,504,633,322.02
  5. Step 5: Solve for x
    x = 871,504,633,322.02/395,862.75
  6. Step 6: Final answer
    x = 2,201,532.31

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Why These Related Problems?

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