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Finding the Third Proportional to 237,728 and 505,984

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Solution

The third proportional to 237,728 and 505,984 is: 1,076,944.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,728 : 505,984 = 505,984 : x
  2. Step 2: Convert to fraction form
    237,728/505,984 = 505,984/x
  3. Step 3: Cross multiply
    237,728x = 505,984 × 505,984
  4. Step 4: Simplify right side
    237,728x = 256,019,808,256
  5. Step 5: Solve for x
    x = 256,019,808,256/237,728
  6. Step 6: Final answer
    x = 1,076,944.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.