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Finding the Third Proportional to 217,447.50 and 441,009

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Solution

The third proportional to 217,447.50 and 441,009 is: 894,417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,447.50 : 441,009 = 441,009 : x
  2. Step 2: Convert to fraction form
    217,447.50/441,009 = 441,009/x
  3. Step 3: Cross multiply
    217,447.50x = 441,009 × 441,009
  4. Step 4: Simplify right side
    217,447.50x = 194,488,938,081
  5. Step 5: Solve for x
    x = 194,488,938,081/217,447.50
  6. Step 6: Final answer
    x = 894,417.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.