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Finding the Third Proportional to 396,704.25 and 604,350

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Solution

The third proportional to 396,704.25 and 604,350 is: 920,683.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,704.25 : 604,350 = 604,350 : x
  2. Step 2: Convert to fraction form
    396,704.25/604,350 = 604,350/x
  3. Step 3: Cross multiply
    396,704.25x = 604,350 × 604,350
  4. Step 4: Simplify right side
    396,704.25x = 365,238,922,500
  5. Step 5: Solve for x
    x = 365,238,922,500/396,704.25
  6. Step 6: Final answer
    x = 920,683.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.