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Finding the Third Proportional to 352,669.50 and 758,364.75

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Solution

The third proportional to 352,669.50 and 758,364.75 is: 1,630,753.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,669.50 : 758,364.75 = 758,364.75 : x
  2. Step 2: Convert to fraction form
    352,669.50/758,364.75 = 758,364.75/x
  3. Step 3: Cross multiply
    352,669.50x = 758,364.75 × 758,364.75
  4. Step 4: Simplify right side
    352,669.50x = 575,117,094,042.56
  5. Step 5: Solve for x
    x = 575,117,094,042.56/352,669.50
  6. Step 6: Final answer
    x = 1,630,753.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.