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Finding the Third Proportional to 288,072 and 628,128

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Solution

The third proportional to 288,072 and 628,128 is: 1,369,604.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,072 : 628,128 = 628,128 : x
  2. Step 2: Convert to fraction form
    288,072/628,128 = 628,128/x
  3. Step 3: Cross multiply
    288,072x = 628,128 × 628,128
  4. Step 4: Simplify right side
    288,072x = 394,544,784,384
  5. Step 5: Solve for x
    x = 394,544,784,384/288,072
  6. Step 6: Final answer
    x = 1,369,604.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.