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Finding the Third Proportional to 229,577.73 and 536,101.35

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Solution

The third proportional to 229,577.73 and 536,101.35 is: 1,251,883.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,577.73 : 536,101.35 = 536,101.35 : x
  2. Step 2: Convert to fraction form
    229,577.73/536,101.35 = 536,101.35/x
  3. Step 3: Cross multiply
    229,577.73x = 536,101.35 × 536,101.35
  4. Step 4: Simplify right side
    229,577.73x = 287,404,654,958.85
  5. Step 5: Solve for x
    x = 287,404,654,958.85/229,577.73
  6. Step 6: Final answer
    x = 1,251,883.86

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.