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Finding the Third Proportional to 277,914 and 568,932

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Solution

The third proportional to 277,914 and 568,932 is: 1,164,689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,914 : 568,932 = 568,932 : x
  2. Step 2: Convert to fraction form
    277,914/568,932 = 568,932/x
  3. Step 3: Cross multiply
    277,914x = 568,932 × 568,932
  4. Step 4: Simplify right side
    277,914x = 323,683,620,624
  5. Step 5: Solve for x
    x = 323,683,620,624/277,914
  6. Step 6: Final answer
    x = 1,164,689.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.