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Finding the Third Proportional to 493,864 and 737,544

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Solution

The third proportional to 493,864 and 737,544 is: 1,101,459.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,864 : 737,544 = 737,544 : x
  2. Step 2: Convert to fraction form
    493,864/737,544 = 737,544/x
  3. Step 3: Cross multiply
    493,864x = 737,544 × 737,544
  4. Step 4: Simplify right side
    493,864x = 543,971,151,936
  5. Step 5: Solve for x
    x = 543,971,151,936/493,864
  6. Step 6: Final answer
    x = 1,101,459.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.