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Finding the Third Proportional to 365,235.75 and 796,898.25

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Solution

The third proportional to 365,235.75 and 796,898.25 is: 1,738,731.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,235.75 : 796,898.25 = 796,898.25 : x
  2. Step 2: Convert to fraction form
    365,235.75/796,898.25 = 796,898.25/x
  3. Step 3: Cross multiply
    365,235.75x = 796,898.25 × 796,898.25
  4. Step 4: Simplify right side
    365,235.75x = 635,046,820,853.06
  5. Step 5: Solve for x
    x = 635,046,820,853.06/365,235.75
  6. Step 6: Final answer
    x = 1,738,731.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.