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Finding the Third Proportional to 294,456 and 628,104

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Solution

The third proportional to 294,456 and 628,104 is: 1,339,808.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,456 : 628,104 = 628,104 : x
  2. Step 2: Convert to fraction form
    294,456/628,104 = 628,104/x
  3. Step 3: Cross multiply
    294,456x = 628,104 × 628,104
  4. Step 4: Simplify right side
    294,456x = 394,514,634,816
  5. Step 5: Solve for x
    x = 394,514,634,816/294,456
  6. Step 6: Final answer
    x = 1,339,808.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.