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Finding the Third Proportional to 277,524 and 654,914

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Solution

The third proportional to 277,524 and 654,914 is: 1,545,496.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,524 : 654,914 = 654,914 : x
  2. Step 2: Convert to fraction form
    277,524/654,914 = 654,914/x
  3. Step 3: Cross multiply
    277,524x = 654,914 × 654,914
  4. Step 4: Simplify right side
    277,524x = 428,912,347,396
  5. Step 5: Solve for x
    x = 428,912,347,396/277,524
  6. Step 6: Final answer
    x = 1,545,496.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.