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Finding the Third Proportional to 263,295.56 and 539,068.92

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Solution

The third proportional to 263,295.56 and 539,068.92 is: 1,103,684.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,295.56 : 539,068.92 = 539,068.92 : x
  2. Step 2: Convert to fraction form
    263,295.56/539,068.92 = 539,068.92/x
  3. Step 3: Cross multiply
    263,295.56x = 539,068.92 × 539,068.92
  4. Step 4: Simplify right side
    263,295.56x = 290,595,302,531.48
  5. Step 5: Solve for x
    x = 290,595,302,531.48/263,295.56
  6. Step 6: Final answer
    x = 1,103,684.77

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.