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Finding the Third Proportional to 326,296 and 722,468

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Solution

The third proportional to 326,296 and 722,468 is: 1,599,651.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,296 : 722,468 = 722,468 : x
  2. Step 2: Convert to fraction form
    326,296/722,468 = 722,468/x
  3. Step 3: Cross multiply
    326,296x = 722,468 × 722,468
  4. Step 4: Simplify right side
    326,296x = 521,960,011,024
  5. Step 5: Solve for x
    x = 521,960,011,024/326,296
  6. Step 6: Final answer
    x = 1,599,651.88

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.