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Finding the Third Proportional to 463,733 and 737,675

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Solution

The third proportional to 463,733 and 737,675 is: 1,173,443.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,733 : 737,675 = 737,675 : x
  2. Step 2: Convert to fraction form
    463,733/737,675 = 737,675/x
  3. Step 3: Cross multiply
    463,733x = 737,675 × 737,675
  4. Step 4: Simplify right side
    463,733x = 544,164,405,625
  5. Step 5: Solve for x
    x = 544,164,405,625/463,733
  6. Step 6: Final answer
    x = 1,173,443.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.