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Finding the Third Proportional to 217,016 and 475,407

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Solution

The third proportional to 217,016 and 475,407 is: 1,041,452.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,016 : 475,407 = 475,407 : x
  2. Step 2: Convert to fraction form
    217,016/475,407 = 475,407/x
  3. Step 3: Cross multiply
    217,016x = 475,407 × 475,407
  4. Step 4: Simplify right side
    217,016x = 226,011,815,649
  5. Step 5: Solve for x
    x = 226,011,815,649/217,016
  6. Step 6: Final answer
    x = 1,041,452.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.