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Finding the Third Proportional to 219,078 and 466,404

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Solution

The third proportional to 219,078 and 466,404 is: 992,946.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,078 : 466,404 = 466,404 : x
  2. Step 2: Convert to fraction form
    219,078/466,404 = 466,404/x
  3. Step 3: Cross multiply
    219,078x = 466,404 × 466,404
  4. Step 4: Simplify right side
    219,078x = 217,532,691,216
  5. Step 5: Solve for x
    x = 217,532,691,216/219,078
  6. Step 6: Final answer
    x = 992,946.31

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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.