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Finding the Third Proportional to 482,922 and 655,873

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Solution

The third proportional to 482,922 and 655,873 is: 890,763.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,922 : 655,873 = 655,873 : x
  2. Step 2: Convert to fraction form
    482,922/655,873 = 655,873/x
  3. Step 3: Cross multiply
    482,922x = 655,873 × 655,873
  4. Step 4: Simplify right side
    482,922x = 430,169,392,129
  5. Step 5: Solve for x
    x = 430,169,392,129/482,922
  6. Step 6: Final answer
    x = 890,763.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.