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Finding the Third Proportional to 451,251 and 598,995

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Solution

The third proportional to 451,251 and 598,995 is: 795,111.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,251 : 598,995 = 598,995 : x
  2. Step 2: Convert to fraction form
    451,251/598,995 = 598,995/x
  3. Step 3: Cross multiply
    451,251x = 598,995 × 598,995
  4. Step 4: Simplify right side
    451,251x = 358,795,010,025
  5. Step 5: Solve for x
    x = 358,795,010,025/451,251
  6. Step 6: Final answer
    x = 795,111.83

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.