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Finding the Third Proportional to 327,242.25 and 480,090.38

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Solution

The third proportional to 327,242.25 and 480,090.38 is: 704,330.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,242.25 : 480,090.38 = 480,090.38 : x
  2. Step 2: Convert to fraction form
    327,242.25/480,090.38 = 480,090.38/x
  3. Step 3: Cross multiply
    327,242.25x = 480,090.38 × 480,090.38
  4. Step 4: Simplify right side
    327,242.25x = 230,486,768,167.64
  5. Step 5: Solve for x
    x = 230,486,768,167.64/327,242.25
  6. Step 6: Final answer
    x = 704,330.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.