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Finding the Third Proportional to 266,422.50 and 395,574.75

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Solution

The third proportional to 266,422.50 and 395,574.75 is: 587,335.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,422.50 : 395,574.75 = 395,574.75 : x
  2. Step 2: Convert to fraction form
    266,422.50/395,574.75 = 395,574.75/x
  3. Step 3: Cross multiply
    266,422.50x = 395,574.75 × 395,574.75
  4. Step 4: Simplify right side
    266,422.50x = 156,479,382,837.56
  5. Step 5: Solve for x
    x = 156,479,382,837.56/266,422.50
  6. Step 6: Final answer
    x = 587,335.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.