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Finding the Third Proportional to 219,120 and 460,374

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Solution

The third proportional to 219,120 and 460,374 is: 967,251.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,120 : 460,374 = 460,374 : x
  2. Step 2: Convert to fraction form
    219,120/460,374 = 460,374/x
  3. Step 3: Cross multiply
    219,120x = 460,374 × 460,374
  4. Step 4: Simplify right side
    219,120x = 211,944,219,876
  5. Step 5: Solve for x
    x = 211,944,219,876/219,120
  6. Step 6: Final answer
    x = 967,251.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.