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Finding the Third Proportional to 295,945 and 480,812

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Solution

The third proportional to 295,945 and 480,812 is: 781,159.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,945 : 480,812 = 480,812 : x
  2. Step 2: Convert to fraction form
    295,945/480,812 = 480,812/x
  3. Step 3: Cross multiply
    295,945x = 480,812 × 480,812
  4. Step 4: Simplify right side
    295,945x = 231,180,179,344
  5. Step 5: Solve for x
    x = 231,180,179,344/295,945
  6. Step 6: Final answer
    x = 781,159.27

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.