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Finding the Third Proportional to 217,366 and 448,700

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Solution

The third proportional to 217,366 and 448,700 is: 926,233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,366 : 448,700 = 448,700 : x
  2. Step 2: Convert to fraction form
    217,366/448,700 = 448,700/x
  3. Step 3: Cross multiply
    217,366x = 448,700 × 448,700
  4. Step 4: Simplify right side
    217,366x = 201,331,690,000
  5. Step 5: Solve for x
    x = 201,331,690,000/217,366
  6. Step 6: Final answer
    x = 926,233.59

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.