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Finding the Third Proportional to 396,816.75 and 596,129.63

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Solution

The third proportional to 396,816.75 and 596,129.63 is: 895,553.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,816.75 : 596,129.63 = 596,129.63 : x
  2. Step 2: Convert to fraction form
    396,816.75/596,129.63 = 596,129.63/x
  3. Step 3: Cross multiply
    396,816.75x = 596,129.63 × 596,129.63
  4. Step 4: Simplify right side
    396,816.75x = 355,370,529,802.64
  5. Step 5: Solve for x
    x = 355,370,529,802.64/396,816.75
  6. Step 6: Final answer
    x = 895,553.25

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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.