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Finding the Third Proportional to 233,982 and 353,079

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Solution

The third proportional to 233,982 and 353,079 is: 532,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,982 : 353,079 = 353,079 : x
  2. Step 2: Convert to fraction form
    233,982/353,079 = 353,079/x
  3. Step 3: Cross multiply
    233,982x = 353,079 × 353,079
  4. Step 4: Simplify right side
    233,982x = 124,664,780,241
  5. Step 5: Solve for x
    x = 124,664,780,241/233,982
  6. Step 6: Final answer
    x = 532,796.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.