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Finding the Third Proportional to 231,326 and 535,479

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Solution

The third proportional to 231,326 and 535,479 is: 1,239,539.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,326 : 535,479 = 535,479 : x
  2. Step 2: Convert to fraction form
    231,326/535,479 = 535,479/x
  3. Step 3: Cross multiply
    231,326x = 535,479 × 535,479
  4. Step 4: Simplify right side
    231,326x = 286,737,759,441
  5. Step 5: Solve for x
    x = 286,737,759,441/231,326
  6. Step 6: Final answer
    x = 1,239,539.69

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.