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Finding the Third Proportional to 396,580.50 and 604,164

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Solution

The third proportional to 396,580.50 and 604,164 is: 920,403.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,580.50 : 604,164 = 604,164 : x
  2. Step 2: Convert to fraction form
    396,580.50/604,164 = 604,164/x
  3. Step 3: Cross multiply
    396,580.50x = 604,164 × 604,164
  4. Step 4: Simplify right side
    396,580.50x = 365,014,138,896
  5. Step 5: Solve for x
    x = 365,014,138,896/396,580.50
  6. Step 6: Final answer
    x = 920,403.65

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