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Finding the Third Proportional to 236,709 and 511,326

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Solution

The third proportional to 236,709 and 511,326 is: 1,104,538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,709 : 511,326 = 511,326 : x
  2. Step 2: Convert to fraction form
    236,709/511,326 = 511,326/x
  3. Step 3: Cross multiply
    236,709x = 511,326 × 511,326
  4. Step 4: Simplify right side
    236,709x = 261,454,278,276
  5. Step 5: Solve for x
    x = 261,454,278,276/236,709
  6. Step 6: Final answer
    x = 1,104,538.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.