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Finding the Third Proportional to 320,176.13 and 481,114.69

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Solution

The third proportional to 320,176.13 and 481,114.69 is: 722,950.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,176.13 : 481,114.69 = 481,114.69 : x
  2. Step 2: Convert to fraction form
    320,176.13/481,114.69 = 481,114.69/x
  3. Step 3: Cross multiply
    320,176.13x = 481,114.69 × 481,114.69
  4. Step 4: Simplify right side
    320,176.13x = 231,471,342,528.22
  5. Step 5: Solve for x
    x = 231,471,342,528.22/320,176.13
  6. Step 6: Final answer
    x = 722,950.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.