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Finding the Third Proportional to 353,068 and 522,742

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Solution

The third proportional to 353,068 and 522,742 is: 773,956.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,068 : 522,742 = 522,742 : x
  2. Step 2: Convert to fraction form
    353,068/522,742 = 522,742/x
  3. Step 3: Cross multiply
    353,068x = 522,742 × 522,742
  4. Step 4: Simplify right side
    353,068x = 273,259,198,564
  5. Step 5: Solve for x
    x = 273,259,198,564/353,068
  6. Step 6: Final answer
    x = 773,956.29

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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.