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Finding the Third Proportional to 217,341 and 470,856

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Solution

The third proportional to 217,341 and 470,856 is: 1,020,080.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,341 : 470,856 = 470,856 : x
  2. Step 2: Convert to fraction form
    217,341/470,856 = 470,856/x
  3. Step 3: Cross multiply
    217,341x = 470,856 × 470,856
  4. Step 4: Simplify right side
    217,341x = 221,705,372,736
  5. Step 5: Solve for x
    x = 221,705,372,736/217,341
  6. Step 6: Final answer
    x = 1,020,080.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.