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Finding the Third Proportional to 272,580,075 and 595,115,604.75

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Solution

The third proportional to 272,580,075 and 595,115,604.75 is: 1,299,297,401.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,580,075 : 595,115,604.75 = 595,115,604.75 : x
  2. Step 2: Convert to fraction form
    272,580,075/595,115,604.75 = 595,115,604.75/x
  3. Step 3: Cross multiply
    272,580,075x = 595,115,604.75 × 595,115,604.75
  4. Step 4: Simplify right side
    272,580,075x = 354,162,583,016,958,208
  5. Step 5: Solve for x
    x = 354,162,583,016,958,208/272,580,075
  6. Step 6: Final answer
    x = 1,299,297,401.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.