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Finding the Third Proportional to 259,425 and 560,322

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Solution

The third proportional to 259,425 and 560,322 is: 1,210,217.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,425 : 560,322 = 560,322 : x
  2. Step 2: Convert to fraction form
    259,425/560,322 = 560,322/x
  3. Step 3: Cross multiply
    259,425x = 560,322 × 560,322
  4. Step 4: Simplify right side
    259,425x = 313,960,743,684
  5. Step 5: Solve for x
    x = 313,960,743,684/259,425
  6. Step 6: Final answer
    x = 1,210,217.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.