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Finding the Third Proportional to 428,828 and 647,610

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Solution

The third proportional to 428,828 and 647,610 is: 978,011.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,828 : 647,610 = 647,610 : x
  2. Step 2: Convert to fraction form
    428,828/647,610 = 647,610/x
  3. Step 3: Cross multiply
    428,828x = 647,610 × 647,610
  4. Step 4: Simplify right side
    428,828x = 419,398,712,100
  5. Step 5: Solve for x
    x = 419,398,712,100/428,828
  6. Step 6: Final answer
    x = 978,011.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.