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Finding the Third Proportional to 229,791 and 330,969

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Solution

The third proportional to 229,791 and 330,969 is: 476,696.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,791 : 330,969 = 330,969 : x
  2. Step 2: Convert to fraction form
    229,791/330,969 = 330,969/x
  3. Step 3: Cross multiply
    229,791x = 330,969 × 330,969
  4. Step 4: Simplify right side
    229,791x = 109,540,478,961
  5. Step 5: Solve for x
    x = 109,540,478,961/229,791
  6. Step 6: Final answer
    x = 476,696.12

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.