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Finding the Third Proportional to 233,288 and 511,774

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Solution

The third proportional to 233,288 and 511,774 is: 1,122,700.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,288 : 511,774 = 511,774 : x
  2. Step 2: Convert to fraction form
    233,288/511,774 = 511,774/x
  3. Step 3: Cross multiply
    233,288x = 511,774 × 511,774
  4. Step 4: Simplify right side
    233,288x = 261,912,627,076
  5. Step 5: Solve for x
    x = 261,912,627,076/233,288
  6. Step 6: Final answer
    x = 1,122,700.81

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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.