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Finding the Third Proportional to 263,003.06 and 570,839.63

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Solution

The third proportional to 263,003.06 and 570,839.63 is: 1,238,988.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,003.06 : 570,839.63 = 570,839.63 : x
  2. Step 2: Convert to fraction form
    263,003.06/570,839.63 = 570,839.63/x
  3. Step 3: Cross multiply
    263,003.06x = 570,839.63 × 570,839.63
  4. Step 4: Simplify right side
    263,003.06x = 325,857,877,470.14
  5. Step 5: Solve for x
    x = 325,857,877,470.14/263,003.06
  6. Step 6: Final answer
    x = 1,238,988.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.