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Finding the Third Proportional to 217,280 and 454,415.50

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Solution

The third proportional to 217,280 and 454,415.50 is: 950,356.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,280 : 454,415.50 = 454,415.50 : x
  2. Step 2: Convert to fraction form
    217,280/454,415.50 = 454,415.50/x
  3. Step 3: Cross multiply
    217,280x = 454,415.50 × 454,415.50
  4. Step 4: Simplify right side
    217,280x = 206,493,446,640.25
  5. Step 5: Solve for x
    x = 206,493,446,640.25/217,280
  6. Step 6: Final answer
    x = 950,356.44

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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.