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Finding the Third Proportional to 275,578,770 and 408,202,282

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Solution

The third proportional to 275,578,770 and 408,202,282 is: 604,651,450.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,578,770 : 408,202,282 = 408,202,282 : x
  2. Step 2: Convert to fraction form
    275,578,770/408,202,282 = 408,202,282/x
  3. Step 3: Cross multiply
    275,578,770x = 408,202,282 × 408,202,282
  4. Step 4: Simplify right side
    275,578,770x = 166,629,103,030,007,520
  5. Step 5: Solve for x
    x = 166,629,103,030,007,520/275,578,770
  6. Step 6: Final answer
    x = 604,651,450.58

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.