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Finding the Third Proportional to 226,101 and 470,807

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Solution

The third proportional to 226,101 and 470,807 is: 980,354.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,101 : 470,807 = 470,807 : x
  2. Step 2: Convert to fraction form
    226,101/470,807 = 470,807/x
  3. Step 3: Cross multiply
    226,101x = 470,807 × 470,807
  4. Step 4: Simplify right side
    226,101x = 221,659,231,249
  5. Step 5: Solve for x
    x = 221,659,231,249/226,101
  6. Step 6: Final answer
    x = 980,354.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.