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Finding the Third Proportional to 281,275,984.50 and 605,753,490

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Solution

The third proportional to 281,275,984.50 and 605,753,490 is: 1,304,545,396.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,275,984.50 : 605,753,490 = 605,753,490 : x
  2. Step 2: Convert to fraction form
    281,275,984.50/605,753,490 = 605,753,490/x
  3. Step 3: Cross multiply
    281,275,984.50x = 605,753,490 × 605,753,490
  4. Step 4: Simplify right side
    281,275,984.50x = 366,937,290,647,180,096
  5. Step 5: Solve for x
    x = 366,937,290,647,180,096/281,275,984.50
  6. Step 6: Final answer
    x = 1,304,545,396.22

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.