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Finding the Third Proportional to 277,912.50 and 568,929

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Solution

The third proportional to 277,912.50 and 568,929 is: 1,164,683.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,912.50 : 568,929 = 568,929 : x
  2. Step 2: Convert to fraction form
    277,912.50/568,929 = 568,929/x
  3. Step 3: Cross multiply
    277,912.50x = 568,929 × 568,929
  4. Step 4: Simplify right side
    277,912.50x = 323,680,207,041
  5. Step 5: Solve for x
    x = 323,680,207,041/277,912.50
  6. Step 6: Final answer
    x = 1,164,683.87

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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.