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Finding the Third Proportional to 233,344 and 511,880

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Solution

The third proportional to 233,344 and 511,880 is: 1,122,896.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,344 : 511,880 = 511,880 : x
  2. Step 2: Convert to fraction form
    233,344/511,880 = 511,880/x
  3. Step 3: Cross multiply
    233,344x = 511,880 × 511,880
  4. Step 4: Simplify right side
    233,344x = 262,021,134,400
  5. Step 5: Solve for x
    x = 262,021,134,400/233,344
  6. Step 6: Final answer
    x = 1,122,896.39

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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.