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Finding the Third Proportional to 216,978 and 444,525

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Solution

The third proportional to 216,978 and 444,525 is: 910,702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,978 : 444,525 = 444,525 : x
  2. Step 2: Convert to fraction form
    216,978/444,525 = 444,525/x
  3. Step 3: Cross multiply
    216,978x = 444,525 × 444,525
  4. Step 4: Simplify right side
    216,978x = 197,602,475,625
  5. Step 5: Solve for x
    x = 197,602,475,625/216,978
  6. Step 6: Final answer
    x = 910,702.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.