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Finding the Third Proportional to 223,143 and 482,544

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Solution

The third proportional to 223,143 and 482,544 is: 1,043,495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,143 : 482,544 = 482,544 : x
  2. Step 2: Convert to fraction form
    223,143/482,544 = 482,544/x
  3. Step 3: Cross multiply
    223,143x = 482,544 × 482,544
  4. Step 4: Simplify right side
    223,143x = 232,848,711,936
  5. Step 5: Solve for x
    x = 232,848,711,936/223,143
  6. Step 6: Final answer
    x = 1,043,495.48

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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.