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Finding the Third Proportional to 396,590 and 595,768

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Solution

The third proportional to 396,590 and 595,768 is: 894,978.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,590 : 595,768 = 595,768 : x
  2. Step 2: Convert to fraction form
    396,590/595,768 = 595,768/x
  3. Step 3: Cross multiply
    396,590x = 595,768 × 595,768
  4. Step 4: Simplify right side
    396,590x = 354,939,509,824
  5. Step 5: Solve for x
    x = 354,939,509,824/396,590
  6. Step 6: Final answer
    x = 894,978.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.