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Finding the Third Proportional to 216,950 and 450,296

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Solution

The third proportional to 216,950 and 450,296 is: 934,623.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,950 : 450,296 = 450,296 : x
  2. Step 2: Convert to fraction form
    216,950/450,296 = 450,296/x
  3. Step 3: Cross multiply
    216,950x = 450,296 × 450,296
  4. Step 4: Simplify right side
    216,950x = 202,766,487,616
  5. Step 5: Solve for x
    x = 202,766,487,616/216,950
  6. Step 6: Final answer
    x = 934,623.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.