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Finding the Third Proportional to 207,784 and 448,372

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Solution

The third proportional to 207,784 and 448,372 is: 967,530.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,784 : 448,372 = 448,372 : x
  2. Step 2: Convert to fraction form
    207,784/448,372 = 448,372/x
  3. Step 3: Cross multiply
    207,784x = 448,372 × 448,372
  4. Step 4: Simplify right side
    207,784x = 201,037,450,384
  5. Step 5: Solve for x
    x = 201,037,450,384/207,784
  6. Step 6: Final answer
    x = 967,530.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.