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Finding the Third Proportional to 328,432 and 494,106

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Solution

The third proportional to 328,432 and 494,106 is: 743,352.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,432 : 494,106 = 494,106 : x
  2. Step 2: Convert to fraction form
    328,432/494,106 = 494,106/x
  3. Step 3: Cross multiply
    328,432x = 494,106 × 494,106
  4. Step 4: Simplify right side
    328,432x = 244,140,739,236
  5. Step 5: Solve for x
    x = 244,140,739,236/328,432
  6. Step 6: Final answer
    x = 743,352.47

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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.