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Finding the Third Proportional to 395,727 and 933,223.50

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Solution

The third proportional to 395,727 and 933,223.50 is: 2,200,775.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,727 : 933,223.50 = 933,223.50 : x
  2. Step 2: Convert to fraction form
    395,727/933,223.50 = 933,223.50/x
  3. Step 3: Cross multiply
    395,727x = 933,223.50 × 933,223.50
  4. Step 4: Simplify right side
    395,727x = 870,906,100,952.25
  5. Step 5: Solve for x
    x = 870,906,100,952.25/395,727
  6. Step 6: Final answer
    x = 2,200,775.03

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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.