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Finding the Third Proportional to 395,424 and 933,003

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Solution

The third proportional to 395,424 and 933,003 is: 2,201,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,424 : 933,003 = 933,003 : x
  2. Step 2: Convert to fraction form
    395,424/933,003 = 933,003/x
  3. Step 3: Cross multiply
    395,424x = 933,003 × 933,003
  4. Step 4: Simplify right side
    395,424x = 870,494,598,009
  5. Step 5: Solve for x
    x = 870,494,598,009/395,424
  6. Step 6: Final answer
    x = 2,201,420.75

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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.