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Finding the Third Proportional to 219,700 and 482,176

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Solution

The third proportional to 219,700 and 482,176 is: 1,058,232.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,700 : 482,176 = 482,176 : x
  2. Step 2: Convert to fraction form
    219,700/482,176 = 482,176/x
  3. Step 3: Cross multiply
    219,700x = 482,176 × 482,176
  4. Step 4: Simplify right side
    219,700x = 232,493,694,976
  5. Step 5: Solve for x
    x = 232,493,694,976/219,700
  6. Step 6: Final answer
    x = 1,058,232.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.