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Finding the Third Proportional to 219,189.50 and 471,670

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Solution

The third proportional to 219,189.50 and 471,670 is: 1,014,978.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,189.50 : 471,670 = 471,670 : x
  2. Step 2: Convert to fraction form
    219,189.50/471,670 = 471,670/x
  3. Step 3: Cross multiply
    219,189.50x = 471,670 × 471,670
  4. Step 4: Simplify right side
    219,189.50x = 222,472,588,900
  5. Step 5: Solve for x
    x = 222,472,588,900/219,189.50
  6. Step 6: Final answer
    x = 1,014,978.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.