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Finding the Third Proportional to 217,042 and 469,174

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Solution

The third proportional to 217,042 and 469,174 is: 1,014,201.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,042 : 469,174 = 469,174 : x
  2. Step 2: Convert to fraction form
    217,042/469,174 = 469,174/x
  3. Step 3: Cross multiply
    217,042x = 469,174 × 469,174
  4. Step 4: Simplify right side
    217,042x = 220,124,242,276
  5. Step 5: Solve for x
    x = 220,124,242,276/217,042
  6. Step 6: Final answer
    x = 1,014,201.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.