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Finding the Third Proportional to 327,228.75 and 480,070.13

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Solution

The third proportional to 327,228.75 and 480,070.13 is: 704,300.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,228.75 : 480,070.13 = 480,070.13 : x
  2. Step 2: Convert to fraction form
    327,228.75/480,070.13 = 480,070.13/x
  3. Step 3: Cross multiply
    327,228.75x = 480,070.13 × 480,070.13
  4. Step 4: Simplify right side
    327,228.75x = 230,467,324,917.52
  5. Step 5: Solve for x
    x = 230,467,324,917.52/327,228.75
  6. Step 6: Final answer
    x = 704,300.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.