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Finding the Third Proportional to 265,940 and 576,187

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Solution

The third proportional to 265,940 and 576,187 is: 1,248,369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,940 : 576,187 = 576,187 : x
  2. Step 2: Convert to fraction form
    265,940/576,187 = 576,187/x
  3. Step 3: Cross multiply
    265,940x = 576,187 × 576,187
  4. Step 4: Simplify right side
    265,940x = 331,991,458,969
  5. Step 5: Solve for x
    x = 331,991,458,969/265,940
  6. Step 6: Final answer
    x = 1,248,369.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.