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Finding the Third Proportional to 353,256 and 762,852

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Solution

The third proportional to 353,256 and 762,852 is: 1,647,369.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,256 : 762,852 = 762,852 : x
  2. Step 2: Convert to fraction form
    353,256/762,852 = 762,852/x
  3. Step 3: Cross multiply
    353,256x = 762,852 × 762,852
  4. Step 4: Simplify right side
    353,256x = 581,943,173,904
  5. Step 5: Solve for x
    x = 581,943,173,904/353,256
  6. Step 6: Final answer
    x = 1,647,369.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.