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Finding the Third Proportional to 293,678.06 and 467,301.94

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Solution

The third proportional to 293,678.06 and 467,301.94 is: 743,573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,678.06 : 467,301.94 = 467,301.94 : x
  2. Step 2: Convert to fraction form
    293,678.06/467,301.94 = 467,301.94/x
  3. Step 3: Cross multiply
    293,678.06x = 467,301.94 × 467,301.94
  4. Step 4: Simplify right side
    293,678.06x = 218,371,100,791.25
  5. Step 5: Solve for x
    x = 218,371,100,791.25/293,678.06
  6. Step 6: Final answer
    x = 743,573.08

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.