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Finding the Third Proportional to 233,417 and 365,779

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Solution

The third proportional to 233,417 and 365,779 is: 573,198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,417 : 365,779 = 365,779 : x
  2. Step 2: Convert to fraction form
    233,417/365,779 = 365,779/x
  3. Step 3: Cross multiply
    233,417x = 365,779 × 365,779
  4. Step 4: Simplify right side
    233,417x = 133,794,276,841
  5. Step 5: Solve for x
    x = 133,794,276,841/233,417
  6. Step 6: Final answer
    x = 573,198.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.