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Finding the Third Proportional to 263,028 and 575,274

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Solution

The third proportional to 263,028 and 575,274 is: 1,258,193.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,028 : 575,274 = 575,274 : x
  2. Step 2: Convert to fraction form
    263,028/575,274 = 575,274/x
  3. Step 3: Cross multiply
    263,028x = 575,274 × 575,274
  4. Step 4: Simplify right side
    263,028x = 330,940,175,076
  5. Step 5: Solve for x
    x = 330,940,175,076/263,028
  6. Step 6: Final answer
    x = 1,258,193.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.