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Finding the Third Proportional to 285,039 and 619,361.44

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Solution

The third proportional to 285,039 and 619,361.44 is: 1,345,810.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,039 : 619,361.44 = 619,361.44 : x
  2. Step 2: Convert to fraction form
    285,039/619,361.44 = 619,361.44/x
  3. Step 3: Cross multiply
    285,039x = 619,361.44 × 619,361.44
  4. Step 4: Simplify right side
    285,039x = 383,608,590,262.07
  5. Step 5: Solve for x
    x = 383,608,590,262.07/285,039
  6. Step 6: Final answer
    x = 1,345,810.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.