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Finding the Third Proportional to 395,712 and 933,180

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Solution

The third proportional to 395,712 and 933,180 is: 2,200,653.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,712 : 933,180 = 933,180 : x
  2. Step 2: Convert to fraction form
    395,712/933,180 = 933,180/x
  3. Step 3: Cross multiply
    395,712x = 933,180 × 933,180
  4. Step 4: Simplify right side
    395,712x = 870,824,912,400
  5. Step 5: Solve for x
    x = 870,824,912,400/395,712
  6. Step 6: Final answer
    x = 2,200,653.28

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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.