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Finding the Third Proportional to 335,978 and 484,095

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Solution

The third proportional to 335,978 and 484,095 is: 697,509.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,978 : 484,095 = 484,095 : x
  2. Step 2: Convert to fraction form
    335,978/484,095 = 484,095/x
  3. Step 3: Cross multiply
    335,978x = 484,095 × 484,095
  4. Step 4: Simplify right side
    335,978x = 234,347,969,025
  5. Step 5: Solve for x
    x = 234,347,969,025/335,978
  6. Step 6: Final answer
    x = 697,509.86

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Why These Related Problems?

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