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Finding the Third Proportional to 329,712 and 675,084

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Solution

The third proportional to 329,712 and 675,084 is: 1,382,231.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,712 : 675,084 = 675,084 : x
  2. Step 2: Convert to fraction form
    329,712/675,084 = 675,084/x
  3. Step 3: Cross multiply
    329,712x = 675,084 × 675,084
  4. Step 4: Simplify right side
    329,712x = 455,738,407,056
  5. Step 5: Solve for x
    x = 455,738,407,056/329,712
  6. Step 6: Final answer
    x = 1,382,231.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.