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Finding the Third Proportional to 327,229 and 480,070

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Solution

The third proportional to 327,229 and 480,070 is: 704,299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,229 : 480,070 = 480,070 : x
  2. Step 2: Convert to fraction form
    327,229/480,070 = 480,070/x
  3. Step 3: Cross multiply
    327,229x = 480,070 × 480,070
  4. Step 4: Simplify right side
    327,229x = 230,467,204,900
  5. Step 5: Solve for x
    x = 230,467,204,900/327,229
  6. Step 6: Final answer
    x = 704,299.45

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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.