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Finding the Third Proportional to 225,392.63 and 475,935.63

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Solution

The third proportional to 225,392.63 and 475,935.63 is: 1,004,978.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,392.63 : 475,935.63 = 475,935.63 : x
  2. Step 2: Convert to fraction form
    225,392.63/475,935.63 = 475,935.63/x
  3. Step 3: Cross multiply
    225,392.63x = 475,935.63 × 475,935.63
  4. Step 4: Simplify right side
    225,392.63x = 226,514,719,144.14
  5. Step 5: Solve for x
    x = 226,514,719,144.14/225,392.63
  6. Step 6: Final answer
    x = 1,004,978.40

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.