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Finding the Third Proportional to 246,619.69 and 512,623.69

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Solution

The third proportional to 246,619.69 and 512,623.69 is: 1,065,539.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,619.69 : 512,623.69 = 512,623.69 : x
  2. Step 2: Convert to fraction form
    246,619.69/512,623.69 = 512,623.69/x
  3. Step 3: Cross multiply
    246,619.69x = 512,623.69 × 512,623.69
  4. Step 4: Simplify right side
    246,619.69x = 262,783,044,986.10
  5. Step 5: Solve for x
    x = 262,783,044,986.10/246,619.69
  6. Step 6: Final answer
    x = 1,065,539.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.