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Finding the Third Proportional to 277,536 and 654,944

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Solution

The third proportional to 277,536 and 654,944 is: 1,545,571.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,536 : 654,944 = 654,944 : x
  2. Step 2: Convert to fraction form
    277,536/654,944 = 654,944/x
  3. Step 3: Cross multiply
    277,536x = 654,944 × 654,944
  4. Step 4: Simplify right side
    277,536x = 428,951,643,136
  5. Step 5: Solve for x
    x = 428,951,643,136/277,536
  6. Step 6: Final answer
    x = 1,545,571.18

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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.