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Finding the Third Proportional to 221,660 and 459,088

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Solution

The third proportional to 221,660 and 459,088 is: 950,833.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,660 : 459,088 = 459,088 : x
  2. Step 2: Convert to fraction form
    221,660/459,088 = 459,088/x
  3. Step 3: Cross multiply
    221,660x = 459,088 × 459,088
  4. Step 4: Simplify right side
    221,660x = 210,761,791,744
  5. Step 5: Solve for x
    x = 210,761,791,744/221,660
  6. Step 6: Final answer
    x = 950,833.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.