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Finding the Third Proportional to 219,458 and 472,210

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Solution

The third proportional to 219,458 and 472,210 is: 1,016,059.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,458 : 472,210 = 472,210 : x
  2. Step 2: Convert to fraction form
    219,458/472,210 = 472,210/x
  3. Step 3: Cross multiply
    219,458x = 472,210 × 472,210
  4. Step 4: Simplify right side
    219,458x = 222,982,284,100
  5. Step 5: Solve for x
    x = 222,982,284,100/219,458
  6. Step 6: Final answer
    x = 1,016,059.04

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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.