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Finding the Third Proportional to 323,139 and 661,950

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Solution

The third proportional to 323,139 and 661,950 is: 1,356,004.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,139 : 661,950 = 661,950 : x
  2. Step 2: Convert to fraction form
    323,139/661,950 = 661,950/x
  3. Step 3: Cross multiply
    323,139x = 661,950 × 661,950
  4. Step 4: Simplify right side
    323,139x = 438,177,802,500
  5. Step 5: Solve for x
    x = 438,177,802,500/323,139
  6. Step 6: Final answer
    x = 1,356,004.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.