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Finding the Third Proportional to 396,823 and 608,053

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Solution

The third proportional to 396,823 and 608,053 is: 931,721.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,823 : 608,053 = 608,053 : x
  2. Step 2: Convert to fraction form
    396,823/608,053 = 608,053/x
  3. Step 3: Cross multiply
    396,823x = 608,053 × 608,053
  4. Step 4: Simplify right side
    396,823x = 369,728,450,809
  5. Step 5: Solve for x
    x = 369,728,450,809/396,823
  6. Step 6: Final answer
    x = 931,721.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.