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Finding the Third Proportional to 396,117 and 596,075

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Solution

The third proportional to 396,117 and 596,075 is: 896,970.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,117 : 596,075 = 596,075 : x
  2. Step 2: Convert to fraction form
    396,117/596,075 = 596,075/x
  3. Step 3: Cross multiply
    396,117x = 596,075 × 596,075
  4. Step 4: Simplify right side
    396,117x = 355,305,405,625
  5. Step 5: Solve for x
    x = 355,305,405,625/396,117
  6. Step 6: Final answer
    x = 896,970.86

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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.