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Finding the Third Proportional to 295,434 and 644,321.25

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Solution

The third proportional to 295,434 and 644,321.25 is: 1,405,220.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,434 : 644,321.25 = 644,321.25 : x
  2. Step 2: Convert to fraction form
    295,434/644,321.25 = 644,321.25/x
  3. Step 3: Cross multiply
    295,434x = 644,321.25 × 644,321.25
  4. Step 4: Simplify right side
    295,434x = 415,149,873,201.56
  5. Step 5: Solve for x
    x = 415,149,873,201.56/295,434
  6. Step 6: Final answer
    x = 1,405,220.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.