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Finding the Third Proportional to 259,285 and 562,832

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Solution

The third proportional to 259,285 and 562,832 is: 1,221,743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,285 : 562,832 = 562,832 : x
  2. Step 2: Convert to fraction form
    259,285/562,832 = 562,832/x
  3. Step 3: Cross multiply
    259,285x = 562,832 × 562,832
  4. Step 4: Simplify right side
    259,285x = 316,779,860,224
  5. Step 5: Solve for x
    x = 316,779,860,224/259,285
  6. Step 6: Final answer
    x = 1,221,743.87

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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.