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Finding the Third Proportional to 365,237.25 and 796,901.25

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Solution

The third proportional to 365,237.25 and 796,901.25 is: 1,738,737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,237.25 : 796,901.25 = 796,901.25 : x
  2. Step 2: Convert to fraction form
    365,237.25/796,901.25 = 796,901.25/x
  3. Step 3: Cross multiply
    365,237.25x = 796,901.25 × 796,901.25
  4. Step 4: Simplify right side
    365,237.25x = 635,051,602,251.56
  5. Step 5: Solve for x
    x = 635,051,602,251.56/365,237.25
  6. Step 6: Final answer
    x = 1,738,737.22

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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.