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Finding the Third Proportional to 498,171.75 and 793,074.75

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Solution

The third proportional to 498,171.75 and 793,074.75 is: 1,262,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,171.75 : 793,074.75 = 793,074.75 : x
  2. Step 2: Convert to fraction form
    498,171.75/793,074.75 = 793,074.75/x
  3. Step 3: Cross multiply
    498,171.75x = 793,074.75 × 793,074.75
  4. Step 4: Simplify right side
    498,171.75x = 628,967,559,087.56
  5. Step 5: Solve for x
    x = 628,967,559,087.56/498,171.75
  6. Step 6: Final answer
    x = 1,262,551.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.