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Finding the Third Proportional to 464,614.88 and 654,289.31

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Solution

The third proportional to 464,614.88 and 654,289.31 is: 921,396.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,614.88 : 654,289.31 = 654,289.31 : x
  2. Step 2: Convert to fraction form
    464,614.88/654,289.31 = 654,289.31/x
  3. Step 3: Cross multiply
    464,614.88x = 654,289.31 × 654,289.31
  4. Step 4: Simplify right side
    464,614.88x = 428,094,504,451.72
  5. Step 5: Solve for x
    x = 428,094,504,451.72/464,614.88
  6. Step 6: Final answer
    x = 921,396.47

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.