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Finding the Third Proportional to 416,664.56 and 589,964.34

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Solution

The third proportional to 416,664.56 and 589,964.34 is: 835,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,664.56 : 589,964.34 = 589,964.34 : x
  2. Step 2: Convert to fraction form
    416,664.56/589,964.34 = 589,964.34/x
  3. Step 3: Cross multiply
    416,664.56x = 589,964.34 × 589,964.34
  4. Step 4: Simplify right side
    416,664.56x = 348,057,926,896.37
  5. Step 5: Solve for x
    x = 348,057,926,896.37/416,664.56
  6. Step 6: Final answer
    x = 835,343.24

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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.