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Finding the Third Proportional to 285,936.75 and 618,950.25

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Solution

The third proportional to 285,936.75 and 618,950.25 is: 1,339,804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,936.75 : 618,950.25 = 618,950.25 : x
  2. Step 2: Convert to fraction form
    285,936.75/618,950.25 = 618,950.25/x
  3. Step 3: Cross multiply
    285,936.75x = 618,950.25 × 618,950.25
  4. Step 4: Simplify right side
    285,936.75x = 383,099,411,975.06
  5. Step 5: Solve for x
    x = 383,099,411,975.06/285,936.75
  6. Step 6: Final answer
    x = 1,339,804.74

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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.