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Finding the Third Proportional to 233,794 and 511,324

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Solution

The third proportional to 233,794 and 511,324 is: 1,118,301.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,794 : 511,324 = 511,324 : x
  2. Step 2: Convert to fraction form
    233,794/511,324 = 511,324/x
  3. Step 3: Cross multiply
    233,794x = 511,324 × 511,324
  4. Step 4: Simplify right side
    233,794x = 261,452,232,976
  5. Step 5: Solve for x
    x = 261,452,232,976/233,794
  6. Step 6: Final answer
    x = 1,118,301.72

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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.