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Finding the Third Proportional to 221,514.75 and 470,711.25

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Solution

The third proportional to 221,514.75 and 470,711.25 is: 1,000,245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,514.75 : 470,711.25 = 470,711.25 : x
  2. Step 2: Convert to fraction form
    221,514.75/470,711.25 = 470,711.25/x
  3. Step 3: Cross multiply
    221,514.75x = 470,711.25 × 470,711.25
  4. Step 4: Simplify right side
    221,514.75x = 221,569,080,876.56
  5. Step 5: Solve for x
    x = 221,569,080,876.56/221,514.75
  6. Step 6: Final answer
    x = 1,000,245.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.