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Finding the Third Proportional to 285,942 and 618,956

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Solution

The third proportional to 285,942 and 618,956 is: 1,339,805.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,942 : 618,956 = 618,956 : x
  2. Step 2: Convert to fraction form
    285,942/618,956 = 618,956/x
  3. Step 3: Cross multiply
    285,942x = 618,956 × 618,956
  4. Step 4: Simplify right side
    285,942x = 383,106,529,936
  5. Step 5: Solve for x
    x = 383,106,529,936/285,942
  6. Step 6: Final answer
    x = 1,339,805.03

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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.