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Finding the Third Proportional to 233,872 and 376,647

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Solution

The third proportional to 233,872 and 376,647 is: 606,583.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,872 : 376,647 = 376,647 : x
  2. Step 2: Convert to fraction form
    233,872/376,647 = 376,647/x
  3. Step 3: Cross multiply
    233,872x = 376,647 × 376,647
  4. Step 4: Simplify right side
    233,872x = 141,862,962,609
  5. Step 5: Solve for x
    x = 141,862,962,609/233,872
  6. Step 6: Final answer
    x = 606,583.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.