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Finding the Third Proportional to 217,246 and 454,354

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Solution

The third proportional to 217,246 and 454,354 is: 950,247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,246 : 454,354 = 454,354 : x
  2. Step 2: Convert to fraction form
    217,246/454,354 = 454,354/x
  3. Step 3: Cross multiply
    217,246x = 454,354 × 454,354
  4. Step 4: Simplify right side
    217,246x = 206,437,557,316
  5. Step 5: Solve for x
    x = 206,437,557,316/217,246
  6. Step 6: Final answer
    x = 950,247.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.