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Finding the Third Proportional to 233,832 and 511,416

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Solution

The third proportional to 233,832 and 511,416 is: 1,118,522.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,832 : 511,416 = 511,416 : x
  2. Step 2: Convert to fraction form
    233,832/511,416 = 511,416/x
  3. Step 3: Cross multiply
    233,832x = 511,416 × 511,416
  4. Step 4: Simplify right side
    233,832x = 261,546,325,056
  5. Step 5: Solve for x
    x = 261,546,325,056/233,832
  6. Step 6: Final answer
    x = 1,118,522.38

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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.