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Finding the Third Proportional to 323,593 and 506,516

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Solution

The third proportional to 323,593 and 506,516 is: 792,843.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,593 : 506,516 = 506,516 : x
  2. Step 2: Convert to fraction form
    323,593/506,516 = 506,516/x
  3. Step 3: Cross multiply
    323,593x = 506,516 × 506,516
  4. Step 4: Simplify right side
    323,593x = 256,558,458,256
  5. Step 5: Solve for x
    x = 256,558,458,256/323,593
  6. Step 6: Final answer
    x = 792,843.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.