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Finding the Third Proportional to 233,874 and 352,926

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Solution

The third proportional to 233,874 and 352,926 is: 532,580.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,874 : 352,926 = 352,926 : x
  2. Step 2: Convert to fraction form
    233,874/352,926 = 352,926/x
  3. Step 3: Cross multiply
    233,874x = 352,926 × 352,926
  4. Step 4: Simplify right side
    233,874x = 124,556,761,476
  5. Step 5: Solve for x
    x = 124,556,761,476/233,874
  6. Step 6: Final answer
    x = 532,580.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.