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Finding the Third Proportional to 214,262 and 470,555

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Solution

The third proportional to 214,262 and 470,555 is: 1,033,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,262 : 470,555 = 470,555 : x
  2. Step 2: Convert to fraction form
    214,262/470,555 = 470,555/x
  3. Step 3: Cross multiply
    214,262x = 470,555 × 470,555
  4. Step 4: Simplify right side
    214,262x = 221,422,008,025
  5. Step 5: Solve for x
    x = 221,422,008,025/214,262
  6. Step 6: Final answer
    x = 1,033,417.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.