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Finding the Third Proportional to 498,162 and 793,061

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Solution

The third proportional to 498,162 and 793,061 is: 1,262,532.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,162 : 793,061 = 793,061 : x
  2. Step 2: Convert to fraction form
    498,162/793,061 = 793,061/x
  3. Step 3: Cross multiply
    498,162x = 793,061 × 793,061
  4. Step 4: Simplify right side
    498,162x = 628,945,749,721
  5. Step 5: Solve for x
    x = 628,945,749,721/498,162
  6. Step 6: Final answer
    x = 1,262,532.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.