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Finding the Third Proportional to 264,629.25 and 581,746.50

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Solution

The third proportional to 264,629.25 and 581,746.50 is: 1,278,879.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,629.25 : 581,746.50 = 581,746.50 : x
  2. Step 2: Convert to fraction form
    264,629.25/581,746.50 = 581,746.50/x
  3. Step 3: Cross multiply
    264,629.25x = 581,746.50 × 581,746.50
  4. Step 4: Simplify right side
    264,629.25x = 338,428,990,262.25
  5. Step 5: Solve for x
    x = 338,428,990,262.25/264,629.25
  6. Step 6: Final answer
    x = 1,278,879.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.