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Finding the Third Proportional to 274,587.75 and 415,752.75

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Solution

The third proportional to 274,587.75 and 415,752.75 is: 629,490.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,587.75 : 415,752.75 = 415,752.75 : x
  2. Step 2: Convert to fraction form
    274,587.75/415,752.75 = 415,752.75/x
  3. Step 3: Cross multiply
    274,587.75x = 415,752.75 × 415,752.75
  4. Step 4: Simplify right side
    274,587.75x = 172,850,349,132.56
  5. Step 5: Solve for x
    x = 172,850,349,132.56/274,587.75
  6. Step 6: Final answer
    x = 629,490.39

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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.