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Finding the Third Proportional to 214,292.67 and 458,109.84

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Solution

The third proportional to 214,292.67 and 458,109.84 is: 979,336.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,292.67 : 458,109.84 = 458,109.84 : x
  2. Step 2: Convert to fraction form
    214,292.67/458,109.84 = 458,109.84/x
  3. Step 3: Cross multiply
    214,292.67x = 458,109.84 × 458,109.84
  4. Step 4: Simplify right side
    214,292.67x = 209,864,628,940.65
  5. Step 5: Solve for x
    x = 209,864,628,940.65/214,292.67
  6. Step 6: Final answer
    x = 979,336.47

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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.