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Finding the Third Proportional to 300,541,980 and 459,751,278

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Solution

The third proportional to 300,541,980 and 459,751,278 is: 703,300,209.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,541,980 : 459,751,278 = 459,751,278 : x
  2. Step 2: Convert to fraction form
    300,541,980/459,751,278 = 459,751,278/x
  3. Step 3: Cross multiply
    300,541,980x = 459,751,278 × 459,751,278
  4. Step 4: Simplify right side
    300,541,980x = 211,371,237,622,633,280
  5. Step 5: Solve for x
    x = 211,371,237,622,633,280/300,541,980
  6. Step 6: Final answer
    x = 703,300,209.92

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.