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Finding the Third Proportional to 416,664.75 and 589,964.56

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Solution

The third proportional to 416,664.75 and 589,964.56 is: 835,343.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,664.75 : 589,964.56 = 589,964.56 : x
  2. Step 2: Convert to fraction form
    416,664.75/589,964.56 = 589,964.56/x
  3. Step 3: Cross multiply
    416,664.75x = 589,964.56 × 589,964.56
  4. Step 4: Simplify right side
    416,664.75x = 348,058,185,005.82
  5. Step 5: Solve for x
    x = 348,058,185,005.82/416,664.75
  6. Step 6: Final answer
    x = 835,343.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.