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Finding the Third Proportional to 290,055 and 628,500

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Solution

The third proportional to 290,055 and 628,500 is: 1,361,852.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,055 : 628,500 = 628,500 : x
  2. Step 2: Convert to fraction form
    290,055/628,500 = 628,500/x
  3. Step 3: Cross multiply
    290,055x = 628,500 × 628,500
  4. Step 4: Simplify right side
    290,055x = 395,012,250,000
  5. Step 5: Solve for x
    x = 395,012,250,000/290,055
  6. Step 6: Final answer
    x = 1,361,852.92

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.