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Finding the Third Proportional to 328,880 and 492,001

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Solution

The third proportional to 328,880 and 492,001 is: 736,028.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,880 : 492,001 = 492,001 : x
  2. Step 2: Convert to fraction form
    328,880/492,001 = 492,001/x
  3. Step 3: Cross multiply
    328,880x = 492,001 × 492,001
  4. Step 4: Simplify right side
    328,880x = 242,064,984,001
  5. Step 5: Solve for x
    x = 242,064,984,001/328,880
  6. Step 6: Final answer
    x = 736,028.29

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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.