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Finding the Third Proportional to 463,476 and 737,512

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Solution

The third proportional to 463,476 and 737,512 is: 1,173,575.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,476 : 737,512 = 737,512 : x
  2. Step 2: Convert to fraction form
    463,476/737,512 = 737,512/x
  3. Step 3: Cross multiply
    463,476x = 737,512 × 737,512
  4. Step 4: Simplify right side
    463,476x = 543,923,950,144
  5. Step 5: Solve for x
    x = 543,923,950,144/463,476
  6. Step 6: Final answer
    x = 1,173,575.22

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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.