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Finding the Third Proportional to 302,238 and 661,788

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Solution

The third proportional to 302,238 and 661,788 is: 1,449,067.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,238 : 661,788 = 661,788 : x
  2. Step 2: Convert to fraction form
    302,238/661,788 = 661,788/x
  3. Step 3: Cross multiply
    302,238x = 661,788 × 661,788
  4. Step 4: Simplify right side
    302,238x = 437,963,356,944
  5. Step 5: Solve for x
    x = 437,963,356,944/302,238
  6. Step 6: Final answer
    x = 1,449,067.81

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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.