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Finding the Third Proportional to 365,152 and 796,732

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Solution

The third proportional to 365,152 and 796,732 is: 1,738,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,152 : 796,732 = 796,732 : x
  2. Step 2: Convert to fraction form
    365,152/796,732 = 796,732/x
  3. Step 3: Cross multiply
    365,152x = 796,732 × 796,732
  4. Step 4: Simplify right side
    365,152x = 634,781,879,824
  5. Step 5: Solve for x
    x = 634,781,879,824/365,152
  6. Step 6: Final answer
    x = 1,738,404.50

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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.