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Finding the Third Proportional to 416,682 and 589,988

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Solution

The third proportional to 416,682 and 589,988 is: 835,375.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,682 : 589,988 = 589,988 : x
  2. Step 2: Convert to fraction form
    416,682/589,988 = 589,988/x
  3. Step 3: Cross multiply
    416,682x = 589,988 × 589,988
  4. Step 4: Simplify right side
    416,682x = 348,085,840,144
  5. Step 5: Solve for x
    x = 348,085,840,144/416,682
  6. Step 6: Final answer
    x = 835,375.27

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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.