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Finding the Third Proportional to 297,850,234.88 and 649,330,268.63

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Solution

The third proportional to 297,850,234.88 and 649,330,268.63 is: 1,415,576,515.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,850,234.88 : 649,330,268.63 = 649,330,268.63 : x
  2. Step 2: Convert to fraction form
    297,850,234.88/649,330,268.63 = 649,330,268.63/x
  3. Step 3: Cross multiply
    297,850,234.88x = 649,330,268.63 × 649,330,268.63
  4. Step 4: Simplify right side
    297,850,234.88x = 421,629,797,752,614,656
  5. Step 5: Solve for x
    x = 421,629,797,752,614,656/297,850,234.88
  6. Step 6: Final answer
    x = 1,415,576,515.93

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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.