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Finding the Third Proportional to 240,527.25 and 526,162.50

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Solution

The third proportional to 240,527.25 and 526,162.50 is: 1,151,000.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,527.25 : 526,162.50 = 526,162.50 : x
  2. Step 2: Convert to fraction form
    240,527.25/526,162.50 = 526,162.50/x
  3. Step 3: Cross multiply
    240,527.25x = 526,162.50 × 526,162.50
  4. Step 4: Simplify right side
    240,527.25x = 276,846,976,406.25
  5. Step 5: Solve for x
    x = 276,846,976,406.25/240,527.25
  6. Step 6: Final answer
    x = 1,151,000.46

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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.