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Finding the Third Proportional to 277,562 and 439,077

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Solution

The third proportional to 277,562 and 439,077 is: 694,578.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,562 : 439,077 = 439,077 : x
  2. Step 2: Convert to fraction form
    277,562/439,077 = 439,077/x
  3. Step 3: Cross multiply
    277,562x = 439,077 × 439,077
  4. Step 4: Simplify right side
    277,562x = 192,788,611,929
  5. Step 5: Solve for x
    x = 192,788,611,929/277,562
  6. Step 6: Final answer
    x = 694,578.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.