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Finding the Third Proportional to 302,813 and 636,991

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Solution

The third proportional to 302,813 and 636,991 is: 1,339,960.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,813 : 636,991 = 636,991 : x
  2. Step 2: Convert to fraction form
    302,813/636,991 = 636,991/x
  3. Step 3: Cross multiply
    302,813x = 636,991 × 636,991
  4. Step 4: Simplify right side
    302,813x = 405,757,534,081
  5. Step 5: Solve for x
    x = 405,757,534,081/302,813
  6. Step 6: Final answer
    x = 1,339,960.75

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.