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Finding the Third Proportional to 283,035 and 618,558

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Solution

The third proportional to 283,035 and 618,558 is: 1,351,825.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,035 : 618,558 = 618,558 : x
  2. Step 2: Convert to fraction form
    283,035/618,558 = 618,558/x
  3. Step 3: Cross multiply
    283,035x = 618,558 × 618,558
  4. Step 4: Simplify right side
    283,035x = 382,613,999,364
  5. Step 5: Solve for x
    x = 382,613,999,364/283,035
  6. Step 6: Final answer
    x = 1,351,825.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.