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Finding the Third Proportional to 221,433.75 and 470,546.72

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Solution

The third proportional to 221,433.75 and 470,546.72 is: 999,911.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,433.75 : 470,546.72 = 470,546.72 : x
  2. Step 2: Convert to fraction form
    221,433.75/470,546.72 = 470,546.72/x
  3. Step 3: Cross multiply
    221,433.75x = 470,546.72 × 470,546.72
  4. Step 4: Simplify right side
    221,433.75x = 221,414,214,526.39
  5. Step 5: Solve for x
    x = 221,414,214,526.39/221,433.75
  6. Step 6: Final answer
    x = 999,911.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.