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Finding the Third Proportional to 416,665.13 and 589,965

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Solution

The third proportional to 416,665.13 and 589,965 is: 835,343.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,665.13 : 589,965 = 589,965 : x
  2. Step 2: Convert to fraction form
    416,665.13/589,965 = 589,965/x
  3. Step 3: Cross multiply
    416,665.13x = 589,965 × 589,965
  4. Step 4: Simplify right side
    416,665.13x = 348,058,701,225
  5. Step 5: Solve for x
    x = 348,058,701,225/416,665.13
  6. Step 6: Final answer
    x = 835,343.97

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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.