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Finding the Third Proportional to 461,724 and 737,626

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Solution

The third proportional to 461,724 and 737,626 is: 1,178,392.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,724 : 737,626 = 737,626 : x
  2. Step 2: Convert to fraction form
    461,724/737,626 = 737,626/x
  3. Step 3: Cross multiply
    461,724x = 737,626 × 737,626
  4. Step 4: Simplify right side
    461,724x = 544,092,115,876
  5. Step 5: Solve for x
    x = 544,092,115,876/461,724
  6. Step 6: Final answer
    x = 1,178,392.54

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.