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Finding the Third Proportional to 281,275,982.63 and 605,753,484.75

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Solution

The third proportional to 281,275,982.63 and 605,753,484.75 is: 1,304,545,382.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,275,982.63 : 605,753,484.75 = 605,753,484.75 : x
  2. Step 2: Convert to fraction form
    281,275,982.63/605,753,484.75 = 605,753,484.75/x
  3. Step 3: Cross multiply
    281,275,982.63x = 605,753,484.75 × 605,753,484.75
  4. Step 4: Simplify right side
    281,275,982.63x = 366,937,284,286,768,512
  5. Step 5: Solve for x
    x = 366,937,284,286,768,512/281,275,982.63
  6. Step 6: Final answer
    x = 1,304,545,382.31

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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.