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Finding the Third Proportional to 207,618 and 452,757

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Solution

The third proportional to 207,618 and 452,757 is: 987,336.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,618 : 452,757 = 452,757 : x
  2. Step 2: Convert to fraction form
    207,618/452,757 = 452,757/x
  3. Step 3: Cross multiply
    207,618x = 452,757 × 452,757
  4. Step 4: Simplify right side
    207,618x = 204,988,901,049
  5. Step 5: Solve for x
    x = 204,988,901,049/207,618
  6. Step 6: Final answer
    x = 987,336.84

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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.