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Finding the Third Proportional to 367,080 and 494,028

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Solution

The third proportional to 367,080 and 494,028 is: 664,878.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,080 : 494,028 = 494,028 : x
  2. Step 2: Convert to fraction form
    367,080/494,028 = 494,028/x
  3. Step 3: Cross multiply
    367,080x = 494,028 × 494,028
  4. Step 4: Simplify right side
    367,080x = 244,063,664,784
  5. Step 5: Solve for x
    x = 244,063,664,784/367,080
  6. Step 6: Final answer
    x = 664,878.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.