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Finding the Third Proportional to 365,016 and 488,256

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Solution

The third proportional to 365,016 and 488,256 is: 653,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,016 : 488,256 = 488,256 : x
  2. Step 2: Convert to fraction form
    365,016/488,256 = 488,256/x
  3. Step 3: Cross multiply
    365,016x = 488,256 × 488,256
  4. Step 4: Simplify right side
    365,016x = 238,393,921,536
  5. Step 5: Solve for x
    x = 238,393,921,536/365,016
  6. Step 6: Final answer
    x = 653,105.40

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.