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Finding the Third Proportional to 312,261.75 and 608,971.50

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Solution

The third proportional to 312,261.75 and 608,971.50 is: 1,187,613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,261.75 : 608,971.50 = 608,971.50 : x
  2. Step 2: Convert to fraction form
    312,261.75/608,971.50 = 608,971.50/x
  3. Step 3: Cross multiply
    312,261.75x = 608,971.50 × 608,971.50
  4. Step 4: Simplify right side
    312,261.75x = 370,846,287,812.25
  5. Step 5: Solve for x
    x = 370,846,287,812.25/312,261.75
  6. Step 6: Final answer
    x = 1,187,613.56

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.