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Finding the Third Proportional to 395,781 and 933,364

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Solution

The third proportional to 395,781 and 933,364 is: 2,201,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,781 : 933,364 = 933,364 : x
  2. Step 2: Convert to fraction form
    395,781/933,364 = 933,364/x
  3. Step 3: Cross multiply
    395,781x = 933,364 × 933,364
  4. Step 4: Simplify right side
    395,781x = 871,168,356,496
  5. Step 5: Solve for x
    x = 871,168,356,496/395,781
  6. Step 6: Final answer
    x = 2,201,137.39

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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.