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Finding the Third Proportional to 543,271.50 and 737,833.50

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Solution

The third proportional to 543,271.50 and 737,833.50 is: 1,002,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,271.50 : 737,833.50 = 737,833.50 : x
  2. Step 2: Convert to fraction form
    543,271.50/737,833.50 = 737,833.50/x
  3. Step 3: Cross multiply
    543,271.50x = 737,833.50 × 737,833.50
  4. Step 4: Simplify right side
    543,271.50x = 544,398,273,722.25
  5. Step 5: Solve for x
    x = 544,398,273,722.25/543,271.50
  6. Step 6: Final answer
    x = 1,002,074.05

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.