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Finding the Third Proportional to 416,664.88 and 589,964.75

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Solution

The third proportional to 416,664.88 and 589,964.75 is: 835,343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,664.88 : 589,964.75 = 589,964.75 : x
  2. Step 2: Convert to fraction form
    416,664.88/589,964.75 = 589,964.75/x
  3. Step 3: Cross multiply
    416,664.88x = 589,964.75 × 589,964.75
  4. Step 4: Simplify right side
    416,664.88x = 348,058,406,242.56
  5. Step 5: Solve for x
    x = 348,058,406,242.56/416,664.88
  6. Step 6: Final answer
    x = 835,343.77

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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.