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Finding the Third Proportional to 369,539 and 796,008

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Solution

The third proportional to 369,539 and 796,008 is: 1,714,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,539 : 796,008 = 796,008 : x
  2. Step 2: Convert to fraction form
    369,539/796,008 = 796,008/x
  3. Step 3: Cross multiply
    369,539x = 796,008 × 796,008
  4. Step 4: Simplify right side
    369,539x = 633,628,736,064
  5. Step 5: Solve for x
    x = 633,628,736,064/369,539
  6. Step 6: Final answer
    x = 1,714,646.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.