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Finding the Third Proportional to 333,168.38 and 487,257

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Solution

The third proportional to 333,168.38 and 487,257 is: 712,610.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,168.38 : 487,257 = 487,257 : x
  2. Step 2: Convert to fraction form
    333,168.38/487,257 = 487,257/x
  3. Step 3: Cross multiply
    333,168.38x = 487,257 × 487,257
  4. Step 4: Simplify right side
    333,168.38x = 237,419,384,049
  5. Step 5: Solve for x
    x = 237,419,384,049/333,168.38
  6. Step 6: Final answer
    x = 712,610.81

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.