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Finding the Third Proportional to 256,004 and 558,232

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Solution

The third proportional to 256,004 and 558,232 is: 1,217,258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,004 : 558,232 = 558,232 : x
  2. Step 2: Convert to fraction form
    256,004/558,232 = 558,232/x
  3. Step 3: Cross multiply
    256,004x = 558,232 × 558,232
  4. Step 4: Simplify right side
    256,004x = 311,622,965,824
  5. Step 5: Solve for x
    x = 311,622,965,824/256,004
  6. Step 6: Final answer
    x = 1,217,258.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.