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Finding the Third Proportional to 482,756 and 675,242

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Solution

The third proportional to 482,756 and 675,242 is: 944,476.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,756 : 675,242 = 675,242 : x
  2. Step 2: Convert to fraction form
    482,756/675,242 = 675,242/x
  3. Step 3: Cross multiply
    482,756x = 675,242 × 675,242
  4. Step 4: Simplify right side
    482,756x = 455,951,758,564
  5. Step 5: Solve for x
    x = 455,951,758,564/482,756
  6. Step 6: Final answer
    x = 944,476.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.