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Finding the Third Proportional to 461,728 and 737,632

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Solution

The third proportional to 461,728 and 737,632 is: 1,178,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,728 : 737,632 = 737,632 : x
  2. Step 2: Convert to fraction form
    461,728/737,632 = 737,632/x
  3. Step 3: Cross multiply
    461,728x = 737,632 × 737,632
  4. Step 4: Simplify right side
    461,728x = 544,100,967,424
  5. Step 5: Solve for x
    x = 544,100,967,424/461,728
  6. Step 6: Final answer
    x = 1,178,401.50

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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.