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Finding the Third Proportional to 277,546 and 654,968

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Solution

The third proportional to 277,546 and 654,968 is: 1,545,628.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,546 : 654,968 = 654,968 : x
  2. Step 2: Convert to fraction form
    277,546/654,968 = 654,968/x
  3. Step 3: Cross multiply
    277,546x = 654,968 × 654,968
  4. Step 4: Simplify right side
    277,546x = 428,983,081,024
  5. Step 5: Solve for x
    x = 428,983,081,024/277,546
  6. Step 6: Final answer
    x = 1,545,628.76

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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.