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Finding the Third Proportional to 277,284 and 440,766

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Solution

The third proportional to 277,284 and 440,766 is: 700,634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,284 : 440,766 = 440,766 : x
  2. Step 2: Convert to fraction form
    277,284/440,766 = 440,766/x
  3. Step 3: Cross multiply
    277,284x = 440,766 × 440,766
  4. Step 4: Simplify right side
    277,284x = 194,274,666,756
  5. Step 5: Solve for x
    x = 194,274,666,756/277,284
  6. Step 6: Final answer
    x = 700,634.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.