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Finding the Third Proportional to 233,791 and 511,330

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Solution

The third proportional to 233,791 and 511,330 is: 1,118,342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,791 : 511,330 = 511,330 : x
  2. Step 2: Convert to fraction form
    233,791/511,330 = 511,330/x
  3. Step 3: Cross multiply
    233,791x = 511,330 × 511,330
  4. Step 4: Simplify right side
    233,791x = 261,458,368,900
  5. Step 5: Solve for x
    x = 261,458,368,900/233,791
  6. Step 6: Final answer
    x = 1,118,342.32

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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.