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Finding the Third Proportional to 277,973 and 606,130

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Solution

The third proportional to 277,973 and 606,130 is: 1,321,687.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,973 : 606,130 = 606,130 : x
  2. Step 2: Convert to fraction form
    277,973/606,130 = 606,130/x
  3. Step 3: Cross multiply
    277,973x = 606,130 × 606,130
  4. Step 4: Simplify right side
    277,973x = 367,393,576,900
  5. Step 5: Solve for x
    x = 367,393,576,900/277,973
  6. Step 6: Final answer
    x = 1,321,687.99

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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.