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Finding the Third Proportional to 291,648 and 628,820

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Solution

The third proportional to 291,648 and 628,820 is: 1,355,793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,648 : 628,820 = 628,820 : x
  2. Step 2: Convert to fraction form
    291,648/628,820 = 628,820/x
  3. Step 3: Cross multiply
    291,648x = 628,820 × 628,820
  4. Step 4: Simplify right side
    291,648x = 395,414,592,400
  5. Step 5: Solve for x
    x = 395,414,592,400/291,648
  6. Step 6: Final answer
    x = 1,355,793.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.