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Finding the Third Proportional to 342,751.50 and 751,963.50

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Solution

The third proportional to 342,751.50 and 751,963.50 is: 1,649,734.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,751.50 : 751,963.50 = 751,963.50 : x
  2. Step 2: Convert to fraction form
    342,751.50/751,963.50 = 751,963.50/x
  3. Step 3: Cross multiply
    342,751.50x = 751,963.50 × 751,963.50
  4. Step 4: Simplify right side
    342,751.50x = 565,449,105,332.25
  5. Step 5: Solve for x
    x = 565,449,105,332.25/342,751.50
  6. Step 6: Final answer
    x = 1,649,734.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.