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Finding the Third Proportional to 225,902 and 470,516

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Solution

The third proportional to 225,902 and 470,516 is: 980,005.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,902 : 470,516 = 470,516 : x
  2. Step 2: Convert to fraction form
    225,902/470,516 = 470,516/x
  3. Step 3: Cross multiply
    225,902x = 470,516 × 470,516
  4. Step 4: Simplify right side
    225,902x = 221,385,306,256
  5. Step 5: Solve for x
    x = 221,385,306,256/225,902
  6. Step 6: Final answer
    x = 980,005.96

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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.