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Finding the Third Proportional to 277,540 and 654,954

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Solution

The third proportional to 277,540 and 654,954 is: 1,545,596.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,540 : 654,954 = 654,954 : x
  2. Step 2: Convert to fraction form
    277,540/654,954 = 654,954/x
  3. Step 3: Cross multiply
    277,540x = 654,954 × 654,954
  4. Step 4: Simplify right side
    277,540x = 428,964,742,116
  5. Step 5: Solve for x
    x = 428,964,742,116/277,540
  6. Step 6: Final answer
    x = 1,545,596.10

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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.