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Finding the Third Proportional to 283,305 and 618,882

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Solution

The third proportional to 283,305 and 618,882 is: 1,351,952.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,305 : 618,882 = 618,882 : x
  2. Step 2: Convert to fraction form
    283,305/618,882 = 618,882/x
  3. Step 3: Cross multiply
    283,305x = 618,882 × 618,882
  4. Step 4: Simplify right side
    283,305x = 383,014,929,924
  5. Step 5: Solve for x
    x = 383,014,929,924/283,305
  6. Step 6: Final answer
    x = 1,351,952.59

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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.