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Finding the Third Proportional to 233,778 and 330,791

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Solution

The third proportional to 233,778 and 330,791 is: 468,062.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,778 : 330,791 = 330,791 : x
  2. Step 2: Convert to fraction form
    233,778/330,791 = 330,791/x
  3. Step 3: Cross multiply
    233,778x = 330,791 × 330,791
  4. Step 4: Simplify right side
    233,778x = 109,422,685,681
  5. Step 5: Solve for x
    x = 109,422,685,681/233,778
  6. Step 6: Final answer
    x = 468,062.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.