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Finding the Third Proportional to 217,841.63 and 471,870

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Solution

The third proportional to 217,841.63 and 471,870 is: 1,022,124.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,841.63 : 471,870 = 471,870 : x
  2. Step 2: Convert to fraction form
    217,841.63/471,870 = 471,870/x
  3. Step 3: Cross multiply
    217,841.63x = 471,870 × 471,870
  4. Step 4: Simplify right side
    217,841.63x = 222,661,296,900
  5. Step 5: Solve for x
    x = 222,661,296,900/217,841.63
  6. Step 6: Final answer
    x = 1,022,124.66

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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.