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Finding the Third Proportional to 223,139 and 482,536

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Solution

The third proportional to 223,139 and 482,536 is: 1,043,479.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,139 : 482,536 = 482,536 : x
  2. Step 2: Convert to fraction form
    223,139/482,536 = 482,536/x
  3. Step 3: Cross multiply
    223,139x = 482,536 × 482,536
  4. Step 4: Simplify right side
    223,139x = 232,840,991,296
  5. Step 5: Solve for x
    x = 232,840,991,296/223,139
  6. Step 6: Final answer
    x = 1,043,479.59

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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.