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Finding the Third Proportional to 236,916 and 523,656

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Solution

The third proportional to 236,916 and 523,656 is: 1,157,438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,916 : 523,656 = 523,656 : x
  2. Step 2: Convert to fraction form
    236,916/523,656 = 523,656/x
  3. Step 3: Cross multiply
    236,916x = 523,656 × 523,656
  4. Step 4: Simplify right side
    236,916x = 274,215,606,336
  5. Step 5: Solve for x
    x = 274,215,606,336/236,916
  6. Step 6: Final answer
    x = 1,157,438.11

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.