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Finding the Third Proportional to 465,768.75 and 948,666

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Solution

The third proportional to 465,768.75 and 948,666 is: 1,932,218.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,768.75 : 948,666 = 948,666 : x
  2. Step 2: Convert to fraction form
    465,768.75/948,666 = 948,666/x
  3. Step 3: Cross multiply
    465,768.75x = 948,666 × 948,666
  4. Step 4: Simplify right side
    465,768.75x = 899,967,179,556
  5. Step 5: Solve for x
    x = 899,967,179,556/465,768.75
  6. Step 6: Final answer
    x = 1,932,218.90

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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.