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Finding the Third Proportional to 331,884 and 512,532

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Solution

The third proportional to 331,884 and 512,532 is: 791,508.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,884 : 512,532 = 512,532 : x
  2. Step 2: Convert to fraction form
    331,884/512,532 = 512,532/x
  3. Step 3: Cross multiply
    331,884x = 512,532 × 512,532
  4. Step 4: Simplify right side
    331,884x = 262,689,051,024
  5. Step 5: Solve for x
    x = 262,689,051,024/331,884
  6. Step 6: Final answer
    x = 791,508.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.