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Finding the Third Proportional to 308,296 and 672,618

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Solution

The third proportional to 308,296 and 672,618 is: 1,467,469.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,296 : 672,618 = 672,618 : x
  2. Step 2: Convert to fraction form
    308,296/672,618 = 672,618/x
  3. Step 3: Cross multiply
    308,296x = 672,618 × 672,618
  4. Step 4: Simplify right side
    308,296x = 452,414,973,924
  5. Step 5: Solve for x
    x = 452,414,973,924/308,296
  6. Step 6: Final answer
    x = 1,467,469.49

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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.