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Finding the Third Proportional to 335,966 and 484,077

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Solution

The third proportional to 335,966 and 484,077 is: 697,482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,966 : 484,077 = 484,077 : x
  2. Step 2: Convert to fraction form
    335,966/484,077 = 484,077/x
  3. Step 3: Cross multiply
    335,966x = 484,077 × 484,077
  4. Step 4: Simplify right side
    335,966x = 234,330,541,929
  5. Step 5: Solve for x
    x = 234,330,541,929/335,966
  6. Step 6: Final answer
    x = 697,482.91

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.