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Finding the Third Proportional to 271,955 and 576,326

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Solution

The third proportional to 271,955 and 576,326 is: 1,221,347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,955 : 576,326 = 576,326 : x
  2. Step 2: Convert to fraction form
    271,955/576,326 = 576,326/x
  3. Step 3: Cross multiply
    271,955x = 576,326 × 576,326
  4. Step 4: Simplify right side
    271,955x = 332,151,658,276
  5. Step 5: Solve for x
    x = 332,151,658,276/271,955
  6. Step 6: Final answer
    x = 1,221,347.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.