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Finding the Third Proportional to 436,516.50 and 964,805

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Solution

The third proportional to 436,516.50 and 964,805 is: 2,132,447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,516.50 : 964,805 = 964,805 : x
  2. Step 2: Convert to fraction form
    436,516.50/964,805 = 964,805/x
  3. Step 3: Cross multiply
    436,516.50x = 964,805 × 964,805
  4. Step 4: Simplify right side
    436,516.50x = 930,848,688,025
  5. Step 5: Solve for x
    x = 930,848,688,025/436,516.50
  6. Step 6: Final answer
    x = 2,132,447.89

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.