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Finding the Third Proportional to 217,040 and 469,170

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Solution

The third proportional to 217,040 and 469,170 is: 1,014,193.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,040 : 469,170 = 469,170 : x
  2. Step 2: Convert to fraction form
    217,040/469,170 = 469,170/x
  3. Step 3: Cross multiply
    217,040x = 469,170 × 469,170
  4. Step 4: Simplify right side
    217,040x = 220,120,488,900
  5. Step 5: Solve for x
    x = 220,120,488,900/217,040
  6. Step 6: Final answer
    x = 1,014,193.19

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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.