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Finding the Third Proportional to 328,653.38 and 491,667

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Solution

The third proportional to 328,653.38 and 491,667 is: 735,536.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,653.38 : 491,667 = 491,667 : x
  2. Step 2: Convert to fraction form
    328,653.38/491,667 = 491,667/x
  3. Step 3: Cross multiply
    328,653.38x = 491,667 × 491,667
  4. Step 4: Simplify right side
    328,653.38x = 241,736,438,889
  5. Step 5: Solve for x
    x = 241,736,438,889/328,653.38
  6. Step 6: Final answer
    x = 735,536.15

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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.