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Finding the Third Proportional to 446,754 and 680,661

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Solution

The third proportional to 446,754 and 680,661 is: 1,037,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,754 : 680,661 = 680,661 : x
  2. Step 2: Convert to fraction form
    446,754/680,661 = 680,661/x
  3. Step 3: Cross multiply
    446,754x = 680,661 × 680,661
  4. Step 4: Simplify right side
    446,754x = 463,299,396,921
  5. Step 5: Solve for x
    x = 463,299,396,921/446,754
  6. Step 6: Final answer
    x = 1,037,034.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.