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Finding the Third Proportional to 496,449 and 701,892

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Solution

The third proportional to 496,449 and 701,892 is: 992,352.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,449 : 701,892 = 701,892 : x
  2. Step 2: Convert to fraction form
    496,449/701,892 = 701,892/x
  3. Step 3: Cross multiply
    496,449x = 701,892 × 701,892
  4. Step 4: Simplify right side
    496,449x = 492,652,379,664
  5. Step 5: Solve for x
    x = 492,652,379,664/496,449
  6. Step 6: Final answer
    x = 992,352.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.