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Finding the Third Proportional to 496,266.75 and 744,491.25

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Solution

The third proportional to 496,266.75 and 744,491.25 is: 1,116,873.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,266.75 : 744,491.25 = 744,491.25 : x
  2. Step 2: Convert to fraction form
    496,266.75/744,491.25 = 744,491.25/x
  3. Step 3: Cross multiply
    496,266.75x = 744,491.25 × 744,491.25
  4. Step 4: Simplify right side
    496,266.75x = 554,267,221,326.56
  5. Step 5: Solve for x
    x = 554,267,221,326.56/496,266.75
  6. Step 6: Final answer
    x = 1,116,873.58

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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.