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Finding the Third Proportional to 275,728 and 595,472

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Solution

The third proportional to 275,728 and 595,472 is: 1,286,002.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,728 : 595,472 = 595,472 : x
  2. Step 2: Convert to fraction form
    275,728/595,472 = 595,472/x
  3. Step 3: Cross multiply
    275,728x = 595,472 × 595,472
  4. Step 4: Simplify right side
    275,728x = 354,586,902,784
  5. Step 5: Solve for x
    x = 354,586,902,784/275,728
  6. Step 6: Final answer
    x = 1,286,002.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.