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Finding the Third Proportional to 319,012 and 695,976

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Solution

The third proportional to 319,012 and 695,976 is: 1,518,383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,012 : 695,976 = 695,976 : x
  2. Step 2: Convert to fraction form
    319,012/695,976 = 695,976/x
  3. Step 3: Cross multiply
    319,012x = 695,976 × 695,976
  4. Step 4: Simplify right side
    319,012x = 484,382,592,576
  5. Step 5: Solve for x
    x = 484,382,592,576/319,012
  6. Step 6: Final answer
    x = 1,518,383.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.