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Finding the Third Proportional to 219,604.50 and 458,271

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Solution

The third proportional to 219,604.50 and 458,271 is: 956,320.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,604.50 : 458,271 = 458,271 : x
  2. Step 2: Convert to fraction form
    219,604.50/458,271 = 458,271/x
  3. Step 3: Cross multiply
    219,604.50x = 458,271 × 458,271
  4. Step 4: Simplify right side
    219,604.50x = 210,012,309,441
  5. Step 5: Solve for x
    x = 210,012,309,441/219,604.50
  6. Step 6: Final answer
    x = 956,320.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.