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Finding the Third Proportional to 277,032 and 606,611

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Solution

The third proportional to 277,032 and 606,611 is: 1,328,283.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,032 : 606,611 = 606,611 : x
  2. Step 2: Convert to fraction form
    277,032/606,611 = 606,611/x
  3. Step 3: Cross multiply
    277,032x = 606,611 × 606,611
  4. Step 4: Simplify right side
    277,032x = 367,976,905,321
  5. Step 5: Solve for x
    x = 367,976,905,321/277,032
  6. Step 6: Final answer
    x = 1,328,283.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.