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Finding the Third Proportional to 493,198 and 739,798

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Solution

The third proportional to 493,198 and 739,798 is: 1,109,698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,198 : 739,798 = 739,798 : x
  2. Step 2: Convert to fraction form
    493,198/739,798 = 739,798/x
  3. Step 3: Cross multiply
    493,198x = 739,798 × 739,798
  4. Step 4: Simplify right side
    493,198x = 547,301,080,804
  5. Step 5: Solve for x
    x = 547,301,080,804/493,198
  6. Step 6: Final answer
    x = 1,109,698.50

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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.