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Finding the Third Proportional to 216,227.25 and 464,423.63

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Solution

The third proportional to 216,227.25 and 464,423.63 is: 997,512.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,227.25 : 464,423.63 = 464,423.63 : x
  2. Step 2: Convert to fraction form
    216,227.25/464,423.63 = 464,423.63/x
  3. Step 3: Cross multiply
    216,227.25x = 464,423.63 × 464,423.63
  4. Step 4: Simplify right side
    216,227.25x = 215,689,303,458.14
  5. Step 5: Solve for x
    x = 215,689,303,458.14/216,227.25
  6. Step 6: Final answer
    x = 997,512.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.