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Finding the Third Proportional to 336,638 and 737,662

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Solution

The third proportional to 336,638 and 737,662 is: 1,616,410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,638 : 737,662 = 737,662 : x
  2. Step 2: Convert to fraction form
    336,638/737,662 = 737,662/x
  3. Step 3: Cross multiply
    336,638x = 737,662 × 737,662
  4. Step 4: Simplify right side
    336,638x = 544,145,226,244
  5. Step 5: Solve for x
    x = 544,145,226,244/336,638
  6. Step 6: Final answer
    x = 1,616,410.58

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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.