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Finding the Third Proportional to 336,796 and 737,008

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Solution

The third proportional to 336,796 and 737,008 is: 1,612,788.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,796 : 737,008 = 737,008 : x
  2. Step 2: Convert to fraction form
    336,796/737,008 = 737,008/x
  3. Step 3: Cross multiply
    336,796x = 737,008 × 737,008
  4. Step 4: Simplify right side
    336,796x = 543,180,792,064
  5. Step 5: Solve for x
    x = 543,180,792,064/336,796
  6. Step 6: Final answer
    x = 1,612,788.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.