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Finding the Third Proportional to 283,878 and 620,004

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Solution

The third proportional to 283,878 and 620,004 is: 1,354,120.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,878 : 620,004 = 620,004 : x
  2. Step 2: Convert to fraction form
    283,878/620,004 = 620,004/x
  3. Step 3: Cross multiply
    283,878x = 620,004 × 620,004
  4. Step 4: Simplify right side
    283,878x = 384,404,960,016
  5. Step 5: Solve for x
    x = 384,404,960,016/283,878
  6. Step 6: Final answer
    x = 1,354,120.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.