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Finding the Third Proportional to 436,244 and 654,827

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Solution

The third proportional to 436,244 and 654,827 is: 982,932.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,244 : 654,827 = 654,827 : x
  2. Step 2: Convert to fraction form
    436,244/654,827 = 654,827/x
  3. Step 3: Cross multiply
    436,244x = 654,827 × 654,827
  4. Step 4: Simplify right side
    436,244x = 428,798,399,929
  5. Step 5: Solve for x
    x = 428,798,399,929/436,244
  6. Step 6: Final answer
    x = 982,932.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.