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Finding the Third Proportional to 223,584 and 482,016

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Solution

The third proportional to 223,584 and 482,016 is: 1,039,159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,584 : 482,016 = 482,016 : x
  2. Step 2: Convert to fraction form
    223,584/482,016 = 482,016/x
  3. Step 3: Cross multiply
    223,584x = 482,016 × 482,016
  4. Step 4: Simplify right side
    223,584x = 232,339,424,256
  5. Step 5: Solve for x
    x = 232,339,424,256/223,584
  6. Step 6: Final answer
    x = 1,039,159.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.