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Finding the Third Proportional to 525,148.50 and 1,145,344.50

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Solution

The third proportional to 525,148.50 and 1,145,344.50 is: 2,497,986.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,148.50 : 1,145,344.50 = 1,145,344.50 : x
  2. Step 2: Convert to fraction form
    525,148.50/1,145,344.50 = 1,145,344.50/x
  3. Step 3: Cross multiply
    525,148.50x = 1,145,344.50 × 1,145,344.50
  4. Step 4: Simplify right side
    525,148.50x = 1,311,814,023,680.25
  5. Step 5: Solve for x
    x = 1,311,814,023,680.25/525,148.50
  6. Step 6: Final answer
    x = 2,497,986.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.