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

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Solution

The third proportional to 233,774 and 511,288 is: 1,118,239.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,774 : 511,288 = 511,288 : x
  2. Step 2: Convert to fraction form
    233,774/511,288 = 511,288/x
  3. Step 3: Cross multiply
    233,774x = 511,288 × 511,288
  4. Step 4: Simplify right side
    233,774x = 261,415,418,944
  5. Step 5: Solve for x
    x = 261,415,418,944/233,774
  6. Step 6: Final answer
    x = 1,118,239.92

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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.