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Finding the Third Proportional to 233,990 and 362,010

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Solution

The third proportional to 233,990 and 362,010 is: 560,071.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,990 : 362,010 = 362,010 : x
  2. Step 2: Convert to fraction form
    233,990/362,010 = 362,010/x
  3. Step 3: Cross multiply
    233,990x = 362,010 × 362,010
  4. Step 4: Simplify right side
    233,990x = 131,051,240,100
  5. Step 5: Solve for x
    x = 131,051,240,100/233,990
  6. Step 6: Final answer
    x = 560,071.97

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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.