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Finding the Third Proportional to 217,373.63 and 475,908.75

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Solution

The third proportional to 217,373.63 and 475,908.75 is: 1,041,934.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,373.63 : 475,908.75 = 475,908.75 : x
  2. Step 2: Convert to fraction form
    217,373.63/475,908.75 = 475,908.75/x
  3. Step 3: Cross multiply
    217,373.63x = 475,908.75 × 475,908.75
  4. Step 4: Simplify right side
    217,373.63x = 226,489,138,326.56
  5. Step 5: Solve for x
    x = 226,489,138,326.56/217,373.63
  6. Step 6: Final answer
    x = 1,041,934.77

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