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Finding the Third Proportional to 291,839.63 and 628,701.75

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Solution

The third proportional to 291,839.63 and 628,701.75 is: 1,354,394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,839.63 : 628,701.75 = 628,701.75 : x
  2. Step 2: Convert to fraction form
    291,839.63/628,701.75 = 628,701.75/x
  3. Step 3: Cross multiply
    291,839.63x = 628,701.75 × 628,701.75
  4. Step 4: Simplify right side
    291,839.63x = 395,265,890,453.06
  5. Step 5: Solve for x
    x = 395,265,890,453.06/291,839.63
  6. Step 6: Final answer
    x = 1,354,394.18

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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.