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Finding the Third Proportional to 251,469 and 545,523.75

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Solution

The third proportional to 251,469 and 545,523.75 is: 1,183,430.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,469 : 545,523.75 = 545,523.75 : x
  2. Step 2: Convert to fraction form
    251,469/545,523.75 = 545,523.75/x
  3. Step 3: Cross multiply
    251,469x = 545,523.75 × 545,523.75
  4. Step 4: Simplify right side
    251,469x = 297,596,161,814.06
  5. Step 5: Solve for x
    x = 297,596,161,814.06/251,469
  6. Step 6: Final answer
    x = 1,183,430.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.