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Finding the Third Proportional to 277,282 and 440,763

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Solution

The third proportional to 277,282 and 440,763 is: 700,629.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,282 : 440,763 = 440,763 : x
  2. Step 2: Convert to fraction form
    277,282/440,763 = 440,763/x
  3. Step 3: Cross multiply
    277,282x = 440,763 × 440,763
  4. Step 4: Simplify right side
    277,282x = 194,272,022,169
  5. Step 5: Solve for x
    x = 194,272,022,169/277,282
  6. Step 6: Final answer
    x = 700,629.76

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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.