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Finding the Third Proportional to 295,400 and 644,268

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Solution

The third proportional to 295,400 and 644,268 is: 1,405,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,400 : 644,268 = 644,268 : x
  2. Step 2: Convert to fraction form
    295,400/644,268 = 644,268/x
  3. Step 3: Cross multiply
    295,400x = 644,268 × 644,268
  4. Step 4: Simplify right side
    295,400x = 415,081,255,824
  5. Step 5: Solve for x
    x = 415,081,255,824/295,400
  6. Step 6: Final answer
    x = 1,405,149.82

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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.