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Finding the Third Proportional to 454,544 and 673,011

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Solution

The third proportional to 454,544 and 673,011 is: 996,479.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,544 : 673,011 = 673,011 : x
  2. Step 2: Convert to fraction form
    454,544/673,011 = 673,011/x
  3. Step 3: Cross multiply
    454,544x = 673,011 × 673,011
  4. Step 4: Simplify right side
    454,544x = 452,943,806,121
  5. Step 5: Solve for x
    x = 452,943,806,121/454,544
  6. Step 6: Final answer
    x = 996,479.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.