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Finding the Third Proportional to 207,372 and 451,618

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Solution

The third proportional to 207,372 and 451,618 is: 983,540.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,372 : 451,618 = 451,618 : x
  2. Step 2: Convert to fraction form
    207,372/451,618 = 451,618/x
  3. Step 3: Cross multiply
    207,372x = 451,618 × 451,618
  4. Step 4: Simplify right side
    207,372x = 203,958,817,924
  5. Step 5: Solve for x
    x = 203,958,817,924/207,372
  6. Step 6: Final answer
    x = 983,540.78

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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.