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Finding the Third Proportional to 218,448 and 475,326

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Solution

The third proportional to 218,448 and 475,326 is: 1,034,272.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,448 : 475,326 = 475,326 : x
  2. Step 2: Convert to fraction form
    218,448/475,326 = 475,326/x
  3. Step 3: Cross multiply
    218,448x = 475,326 × 475,326
  4. Step 4: Simplify right side
    218,448x = 225,934,806,276
  5. Step 5: Solve for x
    x = 225,934,806,276/218,448
  6. Step 6: Final answer
    x = 1,034,272.72

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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.