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Finding the Third Proportional to 353,155.50 and 765,042.75

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Solution

The third proportional to 353,155.50 and 765,042.75 is: 1,657,316.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,155.50 : 765,042.75 = 765,042.75 : x
  2. Step 2: Convert to fraction form
    353,155.50/765,042.75 = 765,042.75/x
  3. Step 3: Cross multiply
    353,155.50x = 765,042.75 × 765,042.75
  4. Step 4: Simplify right side
    353,155.50x = 585,290,409,327.56
  5. Step 5: Solve for x
    x = 585,290,409,327.56/353,155.50
  6. Step 6: Final answer
    x = 1,657,316.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.