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Finding the Third Proportional to 493,984 and 751,632

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Solution

The third proportional to 493,984 and 751,632 is: 1,143,661.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,984 : 751,632 = 751,632 : x
  2. Step 2: Convert to fraction form
    493,984/751,632 = 751,632/x
  3. Step 3: Cross multiply
    493,984x = 751,632 × 751,632
  4. Step 4: Simplify right side
    493,984x = 564,950,663,424
  5. Step 5: Solve for x
    x = 564,950,663,424/493,984
  6. Step 6: Final answer
    x = 1,143,661.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.