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Finding the Third Proportional to 303,827 and 654,399

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Solution

The third proportional to 303,827 and 654,399 is: 1,409,479.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,827 : 654,399 = 654,399 : x
  2. Step 2: Convert to fraction form
    303,827/654,399 = 654,399/x
  3. Step 3: Cross multiply
    303,827x = 654,399 × 654,399
  4. Step 4: Simplify right side
    303,827x = 428,238,051,201
  5. Step 5: Solve for x
    x = 428,238,051,201/303,827
  6. Step 6: Final answer
    x = 1,409,479.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.