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Finding the Third Proportional to 263,283 and 397,251

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Solution

The third proportional to 263,283 and 397,251 is: 599,386.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,283 : 397,251 = 397,251 : x
  2. Step 2: Convert to fraction form
    263,283/397,251 = 397,251/x
  3. Step 3: Cross multiply
    263,283x = 397,251 × 397,251
  4. Step 4: Simplify right side
    263,283x = 157,808,357,001
  5. Step 5: Solve for x
    x = 157,808,357,001/263,283
  6. Step 6: Final answer
    x = 599,386.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.