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Finding the Third Proportional to 214,439.06 and 458,326.69

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Solution

The third proportional to 214,439.06 and 458,326.69 is: 979,594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,439.06 : 458,326.69 = 458,326.69 : x
  2. Step 2: Convert to fraction form
    214,439.06/458,326.69 = 458,326.69/x
  3. Step 3: Cross multiply
    214,439.06x = 458,326.69 × 458,326.69
  4. Step 4: Simplify right side
    214,439.06x = 210,063,352,474.72
  5. Step 5: Solve for x
    x = 210,063,352,474.72/214,439.06
  6. Step 6: Final answer
    x = 979,594.62

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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.