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Finding the Third Proportional to 283,873.50 and 618,147

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Solution

The third proportional to 283,873.50 and 618,147 is: 1,346,042.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,873.50 : 618,147 = 618,147 : x
  2. Step 2: Convert to fraction form
    283,873.50/618,147 = 618,147/x
  3. Step 3: Cross multiply
    283,873.50x = 618,147 × 618,147
  4. Step 4: Simplify right side
    283,873.50x = 382,105,713,609
  5. Step 5: Solve for x
    x = 382,105,713,609/283,873.50
  6. Step 6: Final answer
    x = 1,346,042.21

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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.