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Finding the Third Proportional to 263,047.50 and 570,361.50

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Solution

The third proportional to 263,047.50 and 570,361.50 is: 1,236,705.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,047.50 : 570,361.50 = 570,361.50 : x
  2. Step 2: Convert to fraction form
    263,047.50/570,361.50 = 570,361.50/x
  3. Step 3: Cross multiply
    263,047.50x = 570,361.50 × 570,361.50
  4. Step 4: Simplify right side
    263,047.50x = 325,312,240,682.25
  5. Step 5: Solve for x
    x = 325,312,240,682.25/263,047.50
  6. Step 6: Final answer
    x = 1,236,705.31

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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.