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Finding the Third Proportional to 369,396 and 797,844

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Solution

The third proportional to 369,396 and 797,844 is: 1,723,232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,396 : 797,844 = 797,844 : x
  2. Step 2: Convert to fraction form
    369,396/797,844 = 797,844/x
  3. Step 3: Cross multiply
    369,396x = 797,844 × 797,844
  4. Step 4: Simplify right side
    369,396x = 636,555,048,336
  5. Step 5: Solve for x
    x = 636,555,048,336/369,396
  6. Step 6: Final answer
    x = 1,723,232.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.