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Finding the Third Proportional to 223,538 and 479,032

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Solution

The third proportional to 223,538 and 479,032 is: 1,026,544.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,538 : 479,032 = 479,032 : x
  2. Step 2: Convert to fraction form
    223,538/479,032 = 479,032/x
  3. Step 3: Cross multiply
    223,538x = 479,032 × 479,032
  4. Step 4: Simplify right side
    223,538x = 229,471,657,024
  5. Step 5: Solve for x
    x = 229,471,657,024/223,538
  6. Step 6: Final answer
    x = 1,026,544.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.