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Finding the Third Proportional to 482,991.38 and 751,074.19

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Solution

The third proportional to 482,991.38 and 751,074.19 is: 1,167,955.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,991.38 : 751,074.19 = 751,074.19 : x
  2. Step 2: Convert to fraction form
    482,991.38/751,074.19 = 751,074.19/x
  3. Step 3: Cross multiply
    482,991.38x = 751,074.19 × 751,074.19
  4. Step 4: Simplify right side
    482,991.38x = 564,112,435,128.79
  5. Step 5: Solve for x
    x = 564,112,435,128.79/482,991.38
  6. Step 6: Final answer
    x = 1,167,955.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.