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Finding the Third Proportional to 446,188.50 and 869,960.25

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Solution

The third proportional to 446,188.50 and 869,960.25 is: 1,696,213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,188.50 : 869,960.25 = 869,960.25 : x
  2. Step 2: Convert to fraction form
    446,188.50/869,960.25 = 869,960.25/x
  3. Step 3: Cross multiply
    446,188.50x = 869,960.25 × 869,960.25
  4. Step 4: Simplify right side
    446,188.50x = 756,830,836,580.06
  5. Step 5: Solve for x
    x = 756,830,836,580.06/446,188.50
  6. Step 6: Final answer
    x = 1,696,213.23

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.