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Finding the Third Proportional to 335,110 and 496,102

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Solution

The third proportional to 335,110 and 496,102 is: 734,437.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,110 : 496,102 = 496,102 : x
  2. Step 2: Convert to fraction form
    335,110/496,102 = 496,102/x
  3. Step 3: Cross multiply
    335,110x = 496,102 × 496,102
  4. Step 4: Simplify right side
    335,110x = 246,117,194,404
  5. Step 5: Solve for x
    x = 246,117,194,404/335,110
  6. Step 6: Final answer
    x = 734,437.03

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.