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Finding the Third Proportional to 450,900 and 675,108

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Solution

The third proportional to 450,900 and 675,108 is: 1,010,802.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,900 : 675,108 = 675,108 : x
  2. Step 2: Convert to fraction form
    450,900/675,108 = 675,108/x
  3. Step 3: Cross multiply
    450,900x = 675,108 × 675,108
  4. Step 4: Simplify right side
    450,900x = 455,770,811,664
  5. Step 5: Solve for x
    x = 455,770,811,664/450,900
  6. Step 6: Final answer
    x = 1,010,802.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.