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Finding the Third Proportional to 323,176 and 697,976

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Solution

The third proportional to 323,176 and 697,976 is: 1,507,446.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,176 : 697,976 = 697,976 : x
  2. Step 2: Convert to fraction form
    323,176/697,976 = 697,976/x
  3. Step 3: Cross multiply
    323,176x = 697,976 × 697,976
  4. Step 4: Simplify right side
    323,176x = 487,170,496,576
  5. Step 5: Solve for x
    x = 487,170,496,576/323,176
  6. Step 6: Final answer
    x = 1,507,446.40

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Why These Related Problems?

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