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Finding the Third Proportional to 242,939.25 and 501,438.09

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Solution

The third proportional to 242,939.25 and 501,438.09 is: 1,034,991.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,939.25 : 501,438.09 = 501,438.09 : x
  2. Step 2: Convert to fraction form
    242,939.25/501,438.09 = 501,438.09/x
  3. Step 3: Cross multiply
    242,939.25x = 501,438.09 × 501,438.09
  4. Step 4: Simplify right side
    242,939.25x = 251,440,161,863.63
  5. Step 5: Solve for x
    x = 251,440,161,863.63/242,939.25
  6. Step 6: Final answer
    x = 1,034,991.92

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.