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Finding the Third Proportional to 283,393 and 598,779

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Solution

The third proportional to 283,393 and 598,779 is: 1,265,155.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,393 : 598,779 = 598,779 : x
  2. Step 2: Convert to fraction form
    283,393/598,779 = 598,779/x
  3. Step 3: Cross multiply
    283,393x = 598,779 × 598,779
  4. Step 4: Simplify right side
    283,393x = 358,536,290,841
  5. Step 5: Solve for x
    x = 358,536,290,841/283,393
  6. Step 6: Final answer
    x = 1,265,155.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.