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Finding the Third Proportional to 367,884 and 562,516

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Solution

The third proportional to 367,884 and 562,516 is: 860,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,884 : 562,516 = 562,516 : x
  2. Step 2: Convert to fraction form
    367,884/562,516 = 562,516/x
  3. Step 3: Cross multiply
    367,884x = 562,516 × 562,516
  4. Step 4: Simplify right side
    367,884x = 316,424,250,256
  5. Step 5: Solve for x
    x = 316,424,250,256/367,884
  6. Step 6: Final answer
    x = 860,119.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.