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Finding the Third Proportional to 263,010.80 and 566,245.69

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Solution

The third proportional to 263,010.80 and 566,245.69 is: 1,219,091.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,010.80 : 566,245.69 = 566,245.69 : x
  2. Step 2: Convert to fraction form
    263,010.80/566,245.69 = 566,245.69/x
  3. Step 3: Cross multiply
    263,010.80x = 566,245.69 × 566,245.69
  4. Step 4: Simplify right side
    263,010.80x = 320,634,178,612.35
  5. Step 5: Solve for x
    x = 320,634,178,612.35/263,010.80
  6. Step 6: Final answer
    x = 1,219,091.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.