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Finding the Third Proportional to 225,064 and 470,918

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Solution

The third proportional to 225,064 and 470,918 is: 985,336.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,064 : 470,918 = 470,918 : x
  2. Step 2: Convert to fraction form
    225,064/470,918 = 470,918/x
  3. Step 3: Cross multiply
    225,064x = 470,918 × 470,918
  4. Step 4: Simplify right side
    225,064x = 221,763,762,724
  5. Step 5: Solve for x
    x = 221,763,762,724/225,064
  6. Step 6: Final answer
    x = 985,336.45

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.