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Finding the Third Proportional to 233,343 and 511,884

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Solution

The third proportional to 233,343 and 511,884 is: 1,122,918.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,343 : 511,884 = 511,884 : x
  2. Step 2: Convert to fraction form
    233,343/511,884 = 511,884/x
  3. Step 3: Cross multiply
    233,343x = 511,884 × 511,884
  4. Step 4: Simplify right side
    233,343x = 262,025,229,456
  5. Step 5: Solve for x
    x = 262,025,229,456/233,343
  6. Step 6: Final answer
    x = 1,122,918.75

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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.