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Finding the Third Proportional to 212,727 and 448,692

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Solution

The third proportional to 212,727 and 448,692 is: 946,398.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,727 : 448,692 = 448,692 : x
  2. Step 2: Convert to fraction form
    212,727/448,692 = 448,692/x
  3. Step 3: Cross multiply
    212,727x = 448,692 × 448,692
  4. Step 4: Simplify right side
    212,727x = 201,324,510,864
  5. Step 5: Solve for x
    x = 201,324,510,864/212,727
  6. Step 6: Final answer
    x = 946,398.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.