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Finding the Third Proportional to 219,523 and 479,222

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Solution

The third proportional to 219,523 and 479,222 is: 1,046,148.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,523 : 479,222 = 479,222 : x
  2. Step 2: Convert to fraction form
    219,523/479,222 = 479,222/x
  3. Step 3: Cross multiply
    219,523x = 479,222 × 479,222
  4. Step 4: Simplify right side
    219,523x = 229,653,725,284
  5. Step 5: Solve for x
    x = 229,653,725,284/219,523
  6. Step 6: Final answer
    x = 1,046,148.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.