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Finding the Third Proportional to 216,904.50 and 447,643.50

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Solution

The third proportional to 216,904.50 and 447,643.50 is: 923,838.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,904.50 : 447,643.50 = 447,643.50 : x
  2. Step 2: Convert to fraction form
    216,904.50/447,643.50 = 447,643.50/x
  3. Step 3: Cross multiply
    216,904.50x = 447,643.50 × 447,643.50
  4. Step 4: Simplify right side
    216,904.50x = 200,384,703,092.25
  5. Step 5: Solve for x
    x = 200,384,703,092.25/216,904.50
  6. Step 6: Final answer
    x = 923,838.39

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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.