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Finding the Third Proportional to 285,939 and 618,949

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Solution

The third proportional to 285,939 and 618,949 is: 1,339,788.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,939 : 618,949 = 618,949 : x
  2. Step 2: Convert to fraction form
    285,939/618,949 = 618,949/x
  3. Step 3: Cross multiply
    285,939x = 618,949 × 618,949
  4. Step 4: Simplify right side
    285,939x = 383,097,864,601
  5. Step 5: Solve for x
    x = 383,097,864,601/285,939
  6. Step 6: Final answer
    x = 1,339,788.78

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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.