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Finding the Third Proportional to 207,648 and 441,216

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Solution

The third proportional to 207,648 and 441,216 is: 937,507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,648 : 441,216 = 441,216 : x
  2. Step 2: Convert to fraction form
    207,648/441,216 = 441,216/x
  3. Step 3: Cross multiply
    207,648x = 441,216 × 441,216
  4. Step 4: Simplify right side
    207,648x = 194,671,558,656
  5. Step 5: Solve for x
    x = 194,671,558,656/207,648
  6. Step 6: Final answer
    x = 937,507.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.