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Finding the Third Proportional to 301,338 and 413,190

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Solution

The third proportional to 301,338 and 413,190 is: 566,559.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,338 : 413,190 = 413,190 : x
  2. Step 2: Convert to fraction form
    301,338/413,190 = 413,190/x
  3. Step 3: Cross multiply
    301,338x = 413,190 × 413,190
  4. Step 4: Simplify right side
    301,338x = 170,725,976,100
  5. Step 5: Solve for x
    x = 170,725,976,100/301,338
  6. Step 6: Final answer
    x = 566,559.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.