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Finding the Third Proportional to 175,632.56 and 414,466.69

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Solution

The third proportional to 175,632.56 and 414,466.69 is: 978,079.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,632.56 : 414,466.69 = 414,466.69 : x
  2. Step 2: Convert to fraction form
    175,632.56/414,466.69 = 414,466.69/x
  3. Step 3: Cross multiply
    175,632.56x = 414,466.69 × 414,466.69
  4. Step 4: Simplify right side
    175,632.56x = 171,782,635,047.22
  5. Step 5: Solve for x
    x = 171,782,635,047.22/175,632.56
  6. Step 6: Final answer
    x = 978,079.65

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.