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Finding the Third Proportional to 279,206 and 620,332

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Solution

The third proportional to 279,206 and 620,332 is: 1,378,236.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,206 : 620,332 = 620,332 : x
  2. Step 2: Convert to fraction form
    279,206/620,332 = 620,332/x
  3. Step 3: Cross multiply
    279,206x = 620,332 × 620,332
  4. Step 4: Simplify right side
    279,206x = 384,811,790,224
  5. Step 5: Solve for x
    x = 384,811,790,224/279,206
  6. Step 6: Final answer
    x = 1,378,236.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.