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Finding the Third Proportional to 281,786.98 and 573,415.45

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Solution

The third proportional to 281,786.98 and 573,415.45 is: 1,166,857.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,786.98 : 573,415.45 = 573,415.45 : x
  2. Step 2: Convert to fraction form
    281,786.98/573,415.45 = 573,415.45/x
  3. Step 3: Cross multiply
    281,786.98x = 573,415.45 × 573,415.45
  4. Step 4: Simplify right side
    281,786.98x = 328,805,281,882.55
  5. Step 5: Solve for x
    x = 328,805,281,882.55/281,786.98
  6. Step 6: Final answer
    x = 1,166,857.62

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.