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Finding the Third Proportional to 336,647 and 719,949

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Solution

The third proportional to 336,647 and 719,949 is: 1,539,673.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,647 : 719,949 = 719,949 : x
  2. Step 2: Convert to fraction form
    336,647/719,949 = 719,949/x
  3. Step 3: Cross multiply
    336,647x = 719,949 × 719,949
  4. Step 4: Simplify right side
    336,647x = 518,326,562,601
  5. Step 5: Solve for x
    x = 518,326,562,601/336,647
  6. Step 6: Final answer
    x = 1,539,673.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.