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Finding the Third Proportional to 277,052 and 601,394

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Solution

The third proportional to 277,052 and 601,394 is: 1,305,439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,052 : 601,394 = 601,394 : x
  2. Step 2: Convert to fraction form
    277,052/601,394 = 601,394/x
  3. Step 3: Cross multiply
    277,052x = 601,394 × 601,394
  4. Step 4: Simplify right side
    277,052x = 361,674,743,236
  5. Step 5: Solve for x
    x = 361,674,743,236/277,052
  6. Step 6: Final answer
    x = 1,305,439.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.