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Finding the Third Proportional to 210,359.75 and 458,793.88

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Solution

The third proportional to 210,359.75 and 458,793.88 is: 1,000,627.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,359.75 : 458,793.88 = 458,793.88 : x
  2. Step 2: Convert to fraction form
    210,359.75/458,793.88 = 458,793.88/x
  3. Step 3: Cross multiply
    210,359.75x = 458,793.88 × 458,793.88
  4. Step 4: Simplify right side
    210,359.75x = 210,491,819,737.52
  5. Step 5: Solve for x
    x = 210,491,819,737.52/210,359.75
  6. Step 6: Final answer
    x = 1,000,627.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.