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Finding the Third Proportional to 266,622.75 and 570,768.75

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Solution

The third proportional to 266,622.75 and 570,768.75 is: 1,221,864.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,622.75 : 570,768.75 = 570,768.75 : x
  2. Step 2: Convert to fraction form
    266,622.75/570,768.75 = 570,768.75/x
  3. Step 3: Cross multiply
    266,622.75x = 570,768.75 × 570,768.75
  4. Step 4: Simplify right side
    266,622.75x = 325,776,965,976.56
  5. Step 5: Solve for x
    x = 325,776,965,976.56/266,622.75
  6. Step 6: Final answer
    x = 1,221,864.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.