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Finding the Third Proportional to 303,797.75 and 654,339.25

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Solution

The third proportional to 303,797.75 and 654,339.25 is: 1,409,358.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,797.75 : 654,339.25 = 654,339.25 : x
  2. Step 2: Convert to fraction form
    303,797.75/654,339.25 = 654,339.25/x
  3. Step 3: Cross multiply
    303,797.75x = 654,339.25 × 654,339.25
  4. Step 4: Simplify right side
    303,797.75x = 428,159,854,090.56
  5. Step 5: Solve for x
    x = 428,159,854,090.56/303,797.75
  6. Step 6: Final answer
    x = 1,409,358.21

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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.