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Finding the Third Proportional to 328,928 and 492,096

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Solution

The third proportional to 328,928 and 492,096 is: 736,205.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,928 : 492,096 = 492,096 : x
  2. Step 2: Convert to fraction form
    328,928/492,096 = 492,096/x
  3. Step 3: Cross multiply
    328,928x = 492,096 × 492,096
  4. Step 4: Simplify right side
    328,928x = 242,158,473,216
  5. Step 5: Solve for x
    x = 242,158,473,216/328,928
  6. Step 6: Final answer
    x = 736,205.11

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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.