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Finding the Third Proportional to 465,769.88 and 948,668.25

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Solution

The third proportional to 465,769.88 and 948,668.25 is: 1,932,223.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,769.88 : 948,668.25 = 948,668.25 : x
  2. Step 2: Convert to fraction form
    465,769.88/948,668.25 = 948,668.25/x
  3. Step 3: Cross multiply
    465,769.88x = 948,668.25 × 948,668.25
  4. Step 4: Simplify right side
    465,769.88x = 899,971,448,558.06
  5. Step 5: Solve for x
    x = 899,971,448,558.06/465,769.88
  6. Step 6: Final answer
    x = 1,932,223.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.