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Finding the Third Proportional to 223,137 and 482,532

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Solution

The third proportional to 223,137 and 482,532 is: 1,043,471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,137 : 482,532 = 482,532 : x
  2. Step 2: Convert to fraction form
    223,137/482,532 = 482,532/x
  3. Step 3: Cross multiply
    223,137x = 482,532 × 482,532
  4. Step 4: Simplify right side
    223,137x = 232,837,131,024
  5. Step 5: Solve for x
    x = 232,837,131,024/223,137
  6. Step 6: Final answer
    x = 1,043,471.64

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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.