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Finding the Third Proportional to 395,752 and 933,268

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Solution

The third proportional to 395,752 and 933,268 is: 2,200,845.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,752 : 933,268 = 933,268 : x
  2. Step 2: Convert to fraction form
    395,752/933,268 = 933,268/x
  3. Step 3: Cross multiply
    395,752x = 933,268 × 933,268
  4. Step 4: Simplify right side
    395,752x = 870,989,159,824
  5. Step 5: Solve for x
    x = 870,989,159,824/395,752
  6. Step 6: Final answer
    x = 2,200,845.88

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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.