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Finding the Third Proportional to 219,618 and 479,512

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Solution

The third proportional to 219,618 and 479,512 is: 1,046,962.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,618 : 479,512 = 479,512 : x
  2. Step 2: Convert to fraction form
    219,618/479,512 = 479,512/x
  3. Step 3: Cross multiply
    219,618x = 479,512 × 479,512
  4. Step 4: Simplify right side
    219,618x = 229,931,758,144
  5. Step 5: Solve for x
    x = 229,931,758,144/219,618
  6. Step 6: Final answer
    x = 1,046,962.26

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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.