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Finding the Third Proportional to 493,264 and 739,962

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Solution

The third proportional to 493,264 and 739,962 is: 1,110,042.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,264 : 739,962 = 739,962 : x
  2. Step 2: Convert to fraction form
    493,264/739,962 = 739,962/x
  3. Step 3: Cross multiply
    493,264x = 739,962 × 739,962
  4. Step 4: Simplify right side
    493,264x = 547,543,761,444
  5. Step 5: Solve for x
    x = 547,543,761,444/493,264
  6. Step 6: Final answer
    x = 1,110,042.01

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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.