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Finding the Third Proportional to 264,601.69 and 581,878.69

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Solution

The third proportional to 264,601.69 and 581,878.69 is: 1,279,594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,601.69 : 581,878.69 = 581,878.69 : x
  2. Step 2: Convert to fraction form
    264,601.69/581,878.69 = 581,878.69/x
  3. Step 3: Cross multiply
    264,601.69x = 581,878.69 × 581,878.69
  4. Step 4: Simplify right side
    264,601.69x = 338,582,806,966.72
  5. Step 5: Solve for x
    x = 338,582,806,966.72/264,601.69
  6. Step 6: Final answer
    x = 1,279,594.28

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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.