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Finding the Third Proportional to 283,876 and 618,152

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Solution

The third proportional to 283,876 and 618,152 is: 1,346,052.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,876 : 618,152 = 618,152 : x
  2. Step 2: Convert to fraction form
    283,876/618,152 = 618,152/x
  3. Step 3: Cross multiply
    283,876x = 618,152 × 618,152
  4. Step 4: Simplify right side
    283,876x = 382,111,895,104
  5. Step 5: Solve for x
    x = 382,111,895,104/283,876
  6. Step 6: Final answer
    x = 1,346,052.13

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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.