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Finding the Third Proportional to 217,032.75 and 470,286

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Solution

The third proportional to 217,032.75 and 470,286 is: 1,019,057.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,032.75 : 470,286 = 470,286 : x
  2. Step 2: Convert to fraction form
    217,032.75/470,286 = 470,286/x
  3. Step 3: Cross multiply
    217,032.75x = 470,286 × 470,286
  4. Step 4: Simplify right side
    217,032.75x = 221,168,921,796
  5. Step 5: Solve for x
    x = 221,168,921,796/217,032.75
  6. Step 6: Final answer
    x = 1,019,057.82

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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.