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Finding the Third Proportional to 396,073,792 and 605,494,752

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Solution

The third proportional to 396,073,792 and 605,494,752 is: 925,645,427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,073,792 : 605,494,752 = 605,494,752 : x
  2. Step 2: Convert to fraction form
    396,073,792/605,494,752 = 605,494,752/x
  3. Step 3: Cross multiply
    396,073,792x = 605,494,752 × 605,494,752
  4. Step 4: Simplify right side
    396,073,792x = 366,623,894,699,541,504
  5. Step 5: Solve for x
    x = 366,623,894,699,541,504/396,073,792
  6. Step 6: Final answer
    x = 925,645,427.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.