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Finding the Third Proportional to 219,197 and 471,151

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Solution

The third proportional to 219,197 and 471,151 is: 1,012,711.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,197 : 471,151 = 471,151 : x
  2. Step 2: Convert to fraction form
    219,197/471,151 = 471,151/x
  3. Step 3: Cross multiply
    219,197x = 471,151 × 471,151
  4. Step 4: Simplify right side
    219,197x = 221,983,264,801
  5. Step 5: Solve for x
    x = 221,983,264,801/219,197
  6. Step 6: Final answer
    x = 1,012,711.24

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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.