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Finding the Third Proportional to 329,112 and 492,800

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Solution

The third proportional to 329,112 and 492,800 is: 737,900.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,112 : 492,800 = 492,800 : x
  2. Step 2: Convert to fraction form
    329,112/492,800 = 492,800/x
  3. Step 3: Cross multiply
    329,112x = 492,800 × 492,800
  4. Step 4: Simplify right side
    329,112x = 242,851,840,000
  5. Step 5: Solve for x
    x = 242,851,840,000/329,112
  6. Step 6: Final answer
    x = 737,900.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.