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Finding the Third Proportional to 524,839.50 and 743,271.19

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Solution

The third proportional to 524,839.50 and 743,271.19 is: 1,052,611.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,839.50 : 743,271.19 = 743,271.19 : x
  2. Step 2: Convert to fraction form
    524,839.50/743,271.19 = 743,271.19/x
  3. Step 3: Cross multiply
    524,839.50x = 743,271.19 × 743,271.19
  4. Step 4: Simplify right side
    524,839.50x = 552,452,058,167.66
  5. Step 5: Solve for x
    x = 552,452,058,167.66/524,839.50
  6. Step 6: Final answer
    x = 1,052,611.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.