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Finding the Third Proportional to 329,024 and 718,272

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Solution

The third proportional to 329,024 and 718,272 is: 1,568,015.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,024 : 718,272 = 718,272 : x
  2. Step 2: Convert to fraction form
    329,024/718,272 = 718,272/x
  3. Step 3: Cross multiply
    329,024x = 718,272 × 718,272
  4. Step 4: Simplify right side
    329,024x = 515,914,665,984
  5. Step 5: Solve for x
    x = 515,914,665,984/329,024
  6. Step 6: Final answer
    x = 1,568,015.30

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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.