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Finding the Third Proportional to 274,635.56 and 415,823.63

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Solution

The third proportional to 274,635.56 and 415,823.63 is: 629,595.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,635.56 : 415,823.63 = 415,823.63 : x
  2. Step 2: Convert to fraction form
    274,635.56/415,823.63 = 415,823.63/x
  3. Step 3: Cross multiply
    274,635.56x = 415,823.63 × 415,823.63
  4. Step 4: Simplify right side
    274,635.56x = 172,909,287,108.14
  5. Step 5: Solve for x
    x = 172,909,287,108.14/274,635.56
  6. Step 6: Final answer
    x = 629,595.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.