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Finding the Third Proportional to 188,502 and 409,728

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Solution

The third proportional to 188,502 and 409,728 is: 890,584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,502 : 409,728 = 409,728 : x
  2. Step 2: Convert to fraction form
    188,502/409,728 = 409,728/x
  3. Step 3: Cross multiply
    188,502x = 409,728 × 409,728
  4. Step 4: Simplify right side
    188,502x = 167,877,033,984
  5. Step 5: Solve for x
    x = 167,877,033,984/188,502
  6. Step 6: Final answer
    x = 890,584.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.