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Finding the Third Proportional to 396,649 and 604,270.50

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Solution

The third proportional to 396,649 and 604,270.50 is: 920,569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,649 : 604,270.50 = 604,270.50 : x
  2. Step 2: Convert to fraction form
    396,649/604,270.50 = 604,270.50/x
  3. Step 3: Cross multiply
    396,649x = 604,270.50 × 604,270.50
  4. Step 4: Simplify right side
    396,649x = 365,142,837,170.25
  5. Step 5: Solve for x
    x = 365,142,837,170.25/396,649
  6. Step 6: Final answer
    x = 920,569.16

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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.