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Finding the Third Proportional to 216,897.75 and 447,630.75

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Solution

The third proportional to 216,897.75 and 447,630.75 is: 923,814.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,897.75 : 447,630.75 = 447,630.75 : x
  2. Step 2: Convert to fraction form
    216,897.75/447,630.75 = 447,630.75/x
  3. Step 3: Cross multiply
    216,897.75x = 447,630.75 × 447,630.75
  4. Step 4: Simplify right side
    216,897.75x = 200,373,288,345.56
  5. Step 5: Solve for x
    x = 200,373,288,345.56/216,897.75
  6. Step 6: Final answer
    x = 923,814.51

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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.