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Finding the Third Proportional to 396,015.75 and 567,492.75

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Solution

The third proportional to 396,015.75 and 567,492.75 is: 813,220.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,015.75 : 567,492.75 = 567,492.75 : x
  2. Step 2: Convert to fraction form
    396,015.75/567,492.75 = 567,492.75/x
  3. Step 3: Cross multiply
    396,015.75x = 567,492.75 × 567,492.75
  4. Step 4: Simplify right side
    396,015.75x = 322,048,021,302.56
  5. Step 5: Solve for x
    x = 322,048,021,302.56/396,015.75
  6. Step 6: Final answer
    x = 813,220.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.