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Finding the Third Proportional to 414,800 and 659,557

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Solution

The third proportional to 414,800 and 659,557 is: 1,048,735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,800 : 659,557 = 659,557 : x
  2. Step 2: Convert to fraction form
    414,800/659,557 = 659,557/x
  3. Step 3: Cross multiply
    414,800x = 659,557 × 659,557
  4. Step 4: Simplify right side
    414,800x = 435,015,436,249
  5. Step 5: Solve for x
    x = 435,015,436,249/414,800
  6. Step 6: Final answer
    x = 1,048,735.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.