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Finding the Third Proportional to 215,717.63 and 470,369.25

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Solution

The third proportional to 215,717.63 and 470,369.25 is: 1,025,633.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,717.63 : 470,369.25 = 470,369.25 : x
  2. Step 2: Convert to fraction form
    215,717.63/470,369.25 = 470,369.25/x
  3. Step 3: Cross multiply
    215,717.63x = 470,369.25 × 470,369.25
  4. Step 4: Simplify right side
    215,717.63x = 221,247,231,345.56
  5. Step 5: Solve for x
    x = 221,247,231,345.56/215,717.63
  6. Step 6: Final answer
    x = 1,025,633.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.