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Finding the Third Proportional to 329,149 and 441,235.50

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Solution

The third proportional to 329,149 and 441,235.50 is: 591,491.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,149 : 441,235.50 = 441,235.50 : x
  2. Step 2: Convert to fraction form
    329,149/441,235.50 = 441,235.50/x
  3. Step 3: Cross multiply
    329,149x = 441,235.50 × 441,235.50
  4. Step 4: Simplify right side
    329,149x = 194,688,766,460.25
  5. Step 5: Solve for x
    x = 194,688,766,460.25/329,149
  6. Step 6: Final answer
    x = 591,491.29

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.