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Finding the Third Proportional to 328,797 and 493,200

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Solution

The third proportional to 328,797 and 493,200 is: 739,806.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,797 : 493,200 = 493,200 : x
  2. Step 2: Convert to fraction form
    328,797/493,200 = 493,200/x
  3. Step 3: Cross multiply
    328,797x = 493,200 × 493,200
  4. Step 4: Simplify right side
    328,797x = 243,246,240,000
  5. Step 5: Solve for x
    x = 243,246,240,000/328,797
  6. Step 6: Final answer
    x = 739,806.75

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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.