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Finding the Third Proportional to 217,042 and 469,176

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Solution

The third proportional to 217,042 and 469,176 is: 1,014,209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,042 : 469,176 = 469,176 : x
  2. Step 2: Convert to fraction form
    217,042/469,176 = 469,176/x
  3. Step 3: Cross multiply
    217,042x = 469,176 × 469,176
  4. Step 4: Simplify right side
    217,042x = 220,126,118,976
  5. Step 5: Solve for x
    x = 220,126,118,976/217,042
  6. Step 6: Final answer
    x = 1,014,209.78

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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.