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Finding the Third Proportional to 233,894 and 376,679

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Solution

The third proportional to 233,894 and 376,679 is: 606,629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,894 : 376,679 = 376,679 : x
  2. Step 2: Convert to fraction form
    233,894/376,679 = 376,679/x
  3. Step 3: Cross multiply
    233,894x = 376,679 × 376,679
  4. Step 4: Simplify right side
    233,894x = 141,887,069,041
  5. Step 5: Solve for x
    x = 141,887,069,041/233,894
  6. Step 6: Final answer
    x = 606,629.79

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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.