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Finding the Third Proportional to 216,896 and 447,184

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Solution

The third proportional to 216,896 and 447,184 is: 921,978.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,896 : 447,184 = 447,184 : x
  2. Step 2: Convert to fraction form
    216,896/447,184 = 447,184/x
  3. Step 3: Cross multiply
    216,896x = 447,184 × 447,184
  4. Step 4: Simplify right side
    216,896x = 199,973,529,856
  5. Step 5: Solve for x
    x = 199,973,529,856/216,896
  6. Step 6: Final answer
    x = 921,978.87

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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.