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Finding the Third Proportional to 269,678 and 586,923

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Solution

The third proportional to 269,678 and 586,923 is: 1,277,370.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,678 : 586,923 = 586,923 : x
  2. Step 2: Convert to fraction form
    269,678/586,923 = 586,923/x
  3. Step 3: Cross multiply
    269,678x = 586,923 × 586,923
  4. Step 4: Simplify right side
    269,678x = 344,478,607,929
  5. Step 5: Solve for x
    x = 344,478,607,929/269,678
  6. Step 6: Final answer
    x = 1,277,370.08

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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.