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Finding the Third Proportional to 447,738 and 675,919

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Solution

The third proportional to 447,738 and 675,919 is: 1,020,388.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,738 : 675,919 = 675,919 : x
  2. Step 2: Convert to fraction form
    447,738/675,919 = 675,919/x
  3. Step 3: Cross multiply
    447,738x = 675,919 × 675,919
  4. Step 4: Simplify right side
    447,738x = 456,866,494,561
  5. Step 5: Solve for x
    x = 456,866,494,561/447,738
  6. Step 6: Final answer
    x = 1,020,388.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.