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Finding the Third Proportional to 265,256 and 542,768

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Solution

The third proportional to 265,256 and 542,768 is: 1,110,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,256 : 542,768 = 542,768 : x
  2. Step 2: Convert to fraction form
    265,256/542,768 = 542,768/x
  3. Step 3: Cross multiply
    265,256x = 542,768 × 542,768
  4. Step 4: Simplify right side
    265,256x = 294,597,101,824
  5. Step 5: Solve for x
    x = 294,597,101,824/265,256
  6. Step 6: Final answer
    x = 1,110,614.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.