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Finding the Third Proportional to 219,581 and 472,450

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Solution

The third proportional to 219,581 and 472,450 is: 1,016,522.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,581 : 472,450 = 472,450 : x
  2. Step 2: Convert to fraction form
    219,581/472,450 = 472,450/x
  3. Step 3: Cross multiply
    219,581x = 472,450 × 472,450
  4. Step 4: Simplify right side
    219,581x = 223,209,002,500
  5. Step 5: Solve for x
    x = 223,209,002,500/219,581
  6. Step 6: Final answer
    x = 1,016,522.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.