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Finding the Third Proportional to 330,129 and 494,991

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Solution

The third proportional to 330,129 and 494,991 is: 742,182.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,129 : 494,991 = 494,991 : x
  2. Step 2: Convert to fraction form
    330,129/494,991 = 494,991/x
  3. Step 3: Cross multiply
    330,129x = 494,991 × 494,991
  4. Step 4: Simplify right side
    330,129x = 245,016,090,081
  5. Step 5: Solve for x
    x = 245,016,090,081/330,129
  6. Step 6: Final answer
    x = 742,182.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.