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Finding the Third Proportional to 262,944 and 427,203

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Solution

The third proportional to 262,944 and 427,203 is: 694,073.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,944 : 427,203 = 427,203 : x
  2. Step 2: Convert to fraction form
    262,944/427,203 = 427,203/x
  3. Step 3: Cross multiply
    262,944x = 427,203 × 427,203
  4. Step 4: Simplify right side
    262,944x = 182,502,403,209
  5. Step 5: Solve for x
    x = 182,502,403,209/262,944
  6. Step 6: Final answer
    x = 694,073.27

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.