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Finding the Third Proportional to 268,877 and 585,169

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Solution

The third proportional to 268,877 and 585,169 is: 1,273,529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,877 : 585,169 = 585,169 : x
  2. Step 2: Convert to fraction form
    268,877/585,169 = 585,169/x
  3. Step 3: Cross multiply
    268,877x = 585,169 × 585,169
  4. Step 4: Simplify right side
    268,877x = 342,422,758,561
  5. Step 5: Solve for x
    x = 342,422,758,561/268,877
  6. Step 6: Final answer
    x = 1,273,529.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.