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Finding the Third Proportional to 265,938 and 576,183

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Solution

The third proportional to 265,938 and 576,183 is: 1,248,361.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,938 : 576,183 = 576,183 : x
  2. Step 2: Convert to fraction form
    265,938/576,183 = 576,183/x
  3. Step 3: Cross multiply
    265,938x = 576,183 × 576,183
  4. Step 4: Simplify right side
    265,938x = 331,986,849,489
  5. Step 5: Solve for x
    x = 331,986,849,489/265,938
  6. Step 6: Final answer
    x = 1,248,361.83

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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.