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Finding the Third Proportional to 396,444 and 565,137

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Solution

The third proportional to 396,444 and 565,137 is: 805,611.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,444 : 565,137 = 565,137 : x
  2. Step 2: Convert to fraction form
    396,444/565,137 = 565,137/x
  3. Step 3: Cross multiply
    396,444x = 565,137 × 565,137
  4. Step 4: Simplify right side
    396,444x = 319,379,828,769
  5. Step 5: Solve for x
    x = 319,379,828,769/396,444
  6. Step 6: Final answer
    x = 805,611.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.