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Finding the Third Proportional to 233,988 and 362,007

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Solution

The third proportional to 233,988 and 362,007 is: 560,067.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,988 : 362,007 = 362,007 : x
  2. Step 2: Convert to fraction form
    233,988/362,007 = 362,007/x
  3. Step 3: Cross multiply
    233,988x = 362,007 × 362,007
  4. Step 4: Simplify right side
    233,988x = 131,049,068,049
  5. Step 5: Solve for x
    x = 131,049,068,049/233,988
  6. Step 6: Final answer
    x = 560,067.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.