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Finding the Third Proportional to 303,571 and 668,265

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Solution

The third proportional to 303,571 and 668,265 is: 1,471,082.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,571 : 668,265 = 668,265 : x
  2. Step 2: Convert to fraction form
    303,571/668,265 = 668,265/x
  3. Step 3: Cross multiply
    303,571x = 668,265 × 668,265
  4. Step 4: Simplify right side
    303,571x = 446,578,110,225
  5. Step 5: Solve for x
    x = 446,578,110,225/303,571
  6. Step 6: Final answer
    x = 1,471,082.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.