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Finding the Third Proportional to 259,281 and 562,824

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Solution

The third proportional to 259,281 and 562,824 is: 1,221,727.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,281 : 562,824 = 562,824 : x
  2. Step 2: Convert to fraction form
    259,281/562,824 = 562,824/x
  3. Step 3: Cross multiply
    259,281x = 562,824 × 562,824
  4. Step 4: Simplify right side
    259,281x = 316,770,854,976
  5. Step 5: Solve for x
    x = 316,770,854,976/259,281
  6. Step 6: Final answer
    x = 1,221,727.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.