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Finding the Third Proportional to 331,176 and 719,976

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Solution

The third proportional to 331,176 and 719,976 is: 1,565,226.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,176 : 719,976 = 719,976 : x
  2. Step 2: Convert to fraction form
    331,176/719,976 = 719,976/x
  3. Step 3: Cross multiply
    331,176x = 719,976 × 719,976
  4. Step 4: Simplify right side
    331,176x = 518,365,440,576
  5. Step 5: Solve for x
    x = 518,365,440,576/331,176
  6. Step 6: Final answer
    x = 1,565,226.47

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Why These Related Problems?

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