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Finding the Third Proportional to 463,467 and 737,499

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Solution

The third proportional to 463,467 and 737,499 is: 1,173,556.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,467 : 737,499 = 737,499 : x
  2. Step 2: Convert to fraction form
    463,467/737,499 = 737,499/x
  3. Step 3: Cross multiply
    463,467x = 737,499 × 737,499
  4. Step 4: Simplify right side
    463,467x = 543,904,775,001
  5. Step 5: Solve for x
    x = 543,904,775,001/463,467
  6. Step 6: Final answer
    x = 1,173,556.64

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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.