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Finding the Third Proportional to 536,629.50 and 752,091.75

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Solution

The third proportional to 536,629.50 and 752,091.75 is: 1,054,064.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,629.50 : 752,091.75 = 752,091.75 : x
  2. Step 2: Convert to fraction form
    536,629.50/752,091.75 = 752,091.75/x
  3. Step 3: Cross multiply
    536,629.50x = 752,091.75 × 752,091.75
  4. Step 4: Simplify right side
    536,629.50x = 565,642,000,418.06
  5. Step 5: Solve for x
    x = 565,642,000,418.06/536,629.50
  6. Step 6: Final answer
    x = 1,054,064.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.