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Finding the Third Proportional to 254,728 and 382,732

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Solution

The third proportional to 254,728 and 382,732 is: 575,059.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,728 : 382,732 = 382,732 : x
  2. Step 2: Convert to fraction form
    254,728/382,732 = 382,732/x
  3. Step 3: Cross multiply
    254,728x = 382,732 × 382,732
  4. Step 4: Simplify right side
    254,728x = 146,483,783,824
  5. Step 5: Solve for x
    x = 146,483,783,824/254,728
  6. Step 6: Final answer
    x = 575,059.61

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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.