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Finding the Third Proportional to 302,267 and 661,990

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Solution

The third proportional to 302,267 and 661,990 is: 1,449,813.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,267 : 661,990 = 661,990 : x
  2. Step 2: Convert to fraction form
    302,267/661,990 = 661,990/x
  3. Step 3: Cross multiply
    302,267x = 661,990 × 661,990
  4. Step 4: Simplify right side
    302,267x = 438,230,760,100
  5. Step 5: Solve for x
    x = 438,230,760,100/302,267
  6. Step 6: Final answer
    x = 1,449,813.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.