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Finding the Third Proportional to 217,449 and 471,087

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Solution

The third proportional to 217,449 and 471,087 is: 1,020,574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,449 : 471,087 = 471,087 : x
  2. Step 2: Convert to fraction form
    217,449/471,087 = 471,087/x
  3. Step 3: Cross multiply
    217,449x = 471,087 × 471,087
  4. Step 4: Simplify right side
    217,449x = 221,922,961,569
  5. Step 5: Solve for x
    x = 221,922,961,569/217,449
  6. Step 6: Final answer
    x = 1,020,574.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.